We know that NT references the OT. This is a list of references in the NT that either do or seem to use or allude to passages in the Deuterocanonicals. I didn't do the list, however I suspect that the length of it indicates that there has been substantive use of the LXX in the NT by the writers of the NT. The list may not be absolutely definitive according to the author.
I think I would like to formally withdraw my earlier suggestion that Jesus quoted from the LXX as he almost certainly was speaking in Aramaic rather than Koine Greek. However I will accept that the writers of the NT had a preference to use the LXX over the Masoretic text.
I accept a lot of the argument about the Deuterocanonicals, however I believe they have a place, and whilst we may hold them of a lesser value that the Masoretic Canon, I still believe they have a place.
LXX references/allusions in the NT
Matthew
Matthew 4:4 Wisdom 16:26
Matthew 4:15 1 Maccabees 5:15
Matthew 5:18 Baruch 4:1
Matthew 5:28 Sirach 9:8
Matthew 5:2ss Sirach 25:7-12
Matthew 5:4 Sirach 48:24
Matthew 6:7 Sirach 7:14
Matthew 6:9 Sirach 23:1, 4
Matthew 6:10 1 Maccabees 3:60
Matthew 6:12 Sirach 28:2
Matthew 6:13 Sirach 33:1
Matthew 6:20 Sirach 29:10s
Matthew 6:23 Sirach 14:10
Matthew 6:33 Wisdom 7:11
Matthew 7:12 Tobit 4:15
Matthew 7:12 Sirach 31:15
Matthew 7:16 Sirach 27:6
Matthew 8:11 Baruch 4:37
Matthew 8:21 Tobit 4:3
Matthew 9:36 Judith 11:19
Matthew 9:38 1 Maccabees 12:17
Matthew 10:16 Sirach 13:17
Matthew 11:14 Sirach 48:10
Matthew 11:22 Judith 16:17
Matthew 11:25 Tobit 7:17
Matthew 11:25 Sirach 51:1
Matthew 11:28 Sirach 24:19
Matthew 11:28 Sirach 51:23
Matthew 11:29 Sirach 6:24s
Matthew 11:29 Sirach 6:28s
Matthew 11:29 Sirach 51:26s
Matthew 12:4 2 Maccabees 10:3
Matthew 12:5 Sirach 40:15
Matthew 13:44 Sirach 20:30s
Matthew 16:18 Wisdom 16:13
Matthew 16:22 1 Maccabees 2:21
Matthew 16:27 Sirach 35:22
Matthew 17:11 Sirach 48:10
Matthew 18:10 Tobit 12:15
Matthew 20:2 Tobit 5:15
Matthew 22:13 Wisdom 17:2
Matthew 23:38 Tobit 14:4
Matthew 24:15 1 Maccabees 1:54
Matthew 24:15 2 Maccabees 8:17
Matthew 24:16 1 Maccabees 2:28
Matthew 25:35 Tobit 4:17
Matthew 25:36 Sirach 7:32-35
Matthew 26:38 Sirach 37:2
Matthew 27:24 Daniel 13:46
Matthew 27:43 Wisdom 2:13
Matthew 27:43 Wisdom 2:18-20
Mark
Mark 1:15 Tobit 14:5
Mark 4:5 Sirach 40:15
Mark 4:11 Wisdom 2:22
Mark 5:34 Judith 8:35
Mark 6:49 Wisdom 17:15
Mark 8:37 Sirach 26:14
Mark 9:31 Sirach 2:18
Mark 9:48 Judith 16:17
Mark 10:18 Sirach 4:1
Mark 14:34 Sirach 37:2
Mark 15:29 Wisdom 2:17s
Luke
Luke 1:17 Sirach 48:10
Luke 1:19 Tobit 12:15
Luke 1:42 Judith 13:18
Luke 1:52 Sirach 10:14
Luke 2:29 Tobit 11:9
Luke 2:37 Judith 8:6
Luke 6:35 Wisdom 15:1
Luke 7:22 Sirach 48:5
Luke 9:8 Sirach 48:10
Luke 10:17 Tobit 7:17
Luke 10:19 Sirach 11:19
Luke 10:21 Sirach 51:1
Luke 12:19 Tobit 7:10
Luke 12:20 Wisdom 15:8
Luke 13:25 Tobit 14:4
Luke 13:27 1 Maccabees 3:6
Luke 13:29 Baruch 4:37
Luke 14:13 Tobit 2:2
Luke 15:12 1 Maccabees 10:29 [30]
Luke 15:12 Tobit 3:17
Luke 18:7 Sirach 35:22
Luke 19:44 Wisdom 3:7
Luke 21:24 Tobit 14:5
Luke 21:24 Sirach 28:18
Luke 21:25 Wisdom 5:22
Luke 24:4 2 Maccabees 3:26
Luke 24:31 2 Maccabees 3:34
Luke 24:50 Sirach 50:20s
Luke 24:53 Sirach 50:22
John
John 1:3 Wisdom 9:1
John 3:8 Sirach 16:21
John 3:12 Wisdom 9:16
John 3:12 Wisdom 18:15s
John 3:13 Baruch 3:29
John 3:28 1 Maccabees 9:39
John 3:32 Tobit 4:6
John 4:9 Sirach 50:25s
John 4:48 Wisdom 8:8
John 5:18 Wisdom 2:16
John 6:35 Sirach 24:21
John 7:38 Sirach 24:40, 43[30s]
John 8:44 Wisdom 2:24
John 8:53 Sirach 44:19
John 10:20 Wisdom 5:4
John 10:22 1 Maccabees 4:59
John 14:15 Wisdom 6:18
John 15:9s Wisdom 3:9
John 17:3 Wisdom 15:3
John 20:22 Wisdom 15:11
Acts
Acts 1:10 2 Maccabees 3:26
Acts 1:18 Wisdom 4:19
Acts 2:4 Sirach 48:12
Acts 2:11 Sirach 36:7
Acts 2:39 Sirach 24:32
Acts 4:24 Judith 9:12
Acts 5:2 2 Maccabees 4:32
Acts 5:12 1 Maccabees 12:6
Acts 5:21 2 Maccabees 1:10
Acts 5:39 2 Maccabees 7:19
Acts 9:1-29 2 Maccabees 3:24-40
Acts 9:2 1 Maccabees 15:21
Acts 9:7 Wisdom 18:1
Acts 10:2 Tobit 12:8
Acts 10:22 1 Maccabees 10:25
Acts 10:22 1 Maccabees 11:30, 33 etc.
Acts 10:26 Wisdom 7:1
Acts 10:30 2 Maccabees 11:8
Acts 10:34 Sirach 35:12s
Acts 10:36 Wisdom 6:7
Acts 10:36 Wisdom 8:3 etc.
Acts 11:18 Wisdom 12:19
Acts 12:5 Judith 4:9
Acts 12:10 Sirach 19:26
Acts 12:23 Judith 16:17
Acts 12:23 Sirach 48:21
Acts 12:23 1 Maccabees 7:41
Acts 12:23 2 Maccabees 9:9
Acts 13:10 Sirach 1:30
Acts 13:17 Wisdom 19:10
Acts 14:14 Judith 14:16s
Acts 14:15 Wisdom 7:3
Acts 15:4 Judith 8:26
Acts 16:14 2 Maccabees 1:4
Acts 17:23 Wisdom 14:20
Acts 17:23 Wisdom 15:17
Acts 17:24, 25 Wisdom 9:1
Acts 17:24 Tobit 7:17
Acts 17:24 Wisdom 9:9
Acts 17:26 Wisdom 7:18
Acts 17:27 Wisdom 13:6
Acts 17:29 Wisdom 13:10
Acts 17:30 Sirach 28:7
Acts 19:27 Wisdom 3:17
Acts 19:28 Daniel 14:18, 41
Acts 20:26 Daniel 13:46
Acts 20:32 Wisdom 5:5
Acts 20:35 Sirach 4:31
Acts 21:26 1 Maccabees 3:49
Acts 22.9 Wisdom 18.1
Acts 24:2 2 Maccabees 4:6
Acts 26:18 Wisdom 5:5
Acts 26:25 Judith 10:13
Romans
Romans 1:19-32 Wisdom 13-15
Romans 1:21 Wisdom 13:1
Romans 1:23 Wisdom 11:15
Romans 1:23 Wisdom 12:24
Romans 1:28 2 Maccabees 6:4
Romans 2:4 Wisdom 11:23
Romans 2:11 Sirach 35:12s
Romans 2:15 Wisdom 17:11
Romans 4:13 Sirach 44:21
Romans 4:17 Sirach 44:19
Romans 5:5 Sirach 18:11
Romans 5:12 Wisdom 2:24
Romans 9:4 Sirach 44:12
Romans 9:4 2 Maccabees 6:23
Romans 9:19 Wisdom 12:12
Romans 9:21 Wisdom 15:7
Romans 9:31 Sirach 27:8
Romans 9:31 Wisdom 2:11
Romans 10.7 Wisdom 16.13
Romans 10:6 Baruch 3:29
Romans 11:4 2 Maccabees 2:4
Romans 11:15 Sirach 10:20s
Romans 11:33 Wisdom 17:1
Romans 12:15 Sirach 7:34
Romans 13:1 Sirach 4:27
Romans 13:1 Wisdom 6:3s
Romans 13.10 Wisdom 6.18
Romans 15:4 1 Maccabees 12:9
Romans 15:8 Sirach 36:20
1 Corinthians
1 Corinthians 1:24 Wisdom 7:24s
1 Corinthians 2:16 Wisdom 9:13
1 Corinthians 2:9 Sirach 1:10
1 Corinthians 4:13 Tobit 5:19
1 Corinthians 4:14 Wisdom 11:10
1 Corinthians 6:2 Wisdom 3:8
1 Corinthians 6:12 Sirach 37:28
1 Corinthians 6:13 Sirach 36:18
1 Corinthians 6:18 Sirach 23:17
1 Corinthians 7:19 Sirach 32:23
1 Corinthians 9:19 Sirach 6:19
1 Corinthians 9:25 Wisdom 4:2
1 Corinthians 10:1 Wisdom 19:7s
1 Corinthians 10:20 Baruch 4:7
1 Corinthians 10:23 Sirach 37:28
1 Corinthians 11:7 Sirach 17:3
1 Corinthians 11:7 Wisdom 2:23
1 Corinthians 11:24 Wisdom 16:6
1 Corinthians 15:29 2 Maccabees 12:43s
1 Corinthians 15:32 Wisdom 2:5s
1 Corinthians 15:34 Wisdom 13:1
2 Corinthians
2 Corinthians 5:1, 4 Wisdom 9:15
2 Corinthians 12:12 Wisdom 10:16
Galatians
Galatians 2:6 Sirach 35:13
Galatians 4:4 Tobit 14:5
Galatians 6:1 Wisdom 17:17
Ephesians
Ephesians 1:6 Sirach 45:1
Ephesians 1:6 Sirach 46:13
Ephesians 1:17 Wisdom 7:7
Ephesians 4:14 Sirach 5:9
Ephesians 4:24 Wisdom 9:3
Ephesians 6:12 Wisdom 5:17
Ephesians 6:14 Wisdom 5:18
Ephesians 6:16 Wisdom 5:19, 21
Philippians
Philippians 4:5 Wisdom 2:19
Philippians 4:13 Wisdom 7:23
Philippians 4:18 Sirach 35:6
Colossians
Colossians 2:3 Sirach 1:24s
1 Thessalonians
1 Thessalonians 3:11 Judith 12:8
1 Thessalonians 4:6 Sirach 5:3
1 Thessalonians 4:13 Wisdom 3:18
1 Thessalonians 5:1 Wisdom 8:8
1 Thessalonians 5:2 Wisdom 18:14s
1 Thessalonians 5:3 Wisdom 17:14
1 Thessalonians 5:8 Wisdom 5:18
2 Thessalonians
2 Thessalonians 2:1 2 Maccabees 2:7
1 Timothy
1 Timothy 1:17 Tobit 13:7, 11
1 Timothy 2:2 2 Maccabees 3:11
1 Timothy 2:2 Baruch 1:11s
1 Timothy 6:15 Sirach 46:5
1 Timothy 6:15 2 Maccabees 12:15
1 Timothy 6:15 2 Maccabees 13:4
2 Timothy
2 Timothy 2:19 Sirach 17:26
2 Timothy 2:19 Sirach 23:10v1
2 Timothy 2:19 Sirach 35:3
2 Timothy 4:8 Wisdom 5:16
2 Timothy 4:17 1 Maccabees 2:60
Titus
Titus 2:11 2 Maccabees 3:30
Titus 3:4 Wisdom 1:6
Hebrews
Hebrews 1:3 Wisdom 7:25s
Hebrews 2:5 Sirach 17:17
Hebrews 4.12 Wisdom 18.15s
Hebrews 4:12 Wisdom 7:22-30
Hebrews 5:6 1 Maccabees 14:41
Hebrews 7:22 Sirach 29:14ss
Hebrews 11:5 Sirach 44:16
Hebrews 11:5 Wisdom 4:10
Hebrews 11:6 Wisdom 10:17
Hebrews 11.10 Wisdom 13.1
Hebrews 11:10 2 Maccabees 4:1
Hebrews 11:17 1 Maccabees 2:52
Hebrews 11:17 Sirach 44:20
Hebrews 11:27 Sirach 2:2
Hebrews 11:28 Wisdom 18:25
Hebrews 11:35 2 Maccabees 6:18-7:42
Hebrews 12:4 2 Maccabees 13:14
Hebrews 12:9 2 Maccabees 3:24
Hebrews 12:12 Sirach 25:23
Hebrews 12:17 Wisdom 12:10
Hebrews 12:21 1 Maccabees 13:2
Hebrews 13:7 Sirach 33:19
Hebrews 13:7 Wisdom 2:17
James
James 1:1 2 Maccabees 1:27
James 1:13 Sirach 15:11-20
James 1:19 Sirach 5:11
James 1:2 Sirach 2:1
James 1:2 Wisdom 3:4s
James 1:21 Sirach 3:17
James 2:13 Tobit 4:10
James 2:23 Wisdom 7:27
James 3:2 Sirach 14:1
James 3:6 Sirach 5:13
James 3:9 Sirach 23:1, 4
James 3:10 Sirach 5:13
James 3:10 Sirach 28:12
James 3:13 Sirach 3:17
James 4:2 1 Maccabees 8:16
James 4:11 Wisdom 1:11
James 5:3 Judith 16:17
James 5:3 Sirach 29:10
James 5:4 Tobit 4:14
James 5:6 Wisdom 2:10
James 5:6 Wisdom 2:12
James 5:6 Wisdom 2:19
1 Peter
1 Peter 1:3 Sirach 16:12
1 Peter 1:7 Sirach 2:5
1 Peter 2:25 Wisdom 1:6
1 Peter 4:19 2 Maccabees 1:24 etc.
1 Peter 5:7 Wisdom 12:13
2 Peter
2 Peter 2:2 Wisdom 5:6
2 Peter 2:7 Wisdom 10:6
2 Peter 3:9 Sirach 35:19
2 Peter 3:18 Sirach 18:10
1 John
1 John 5:21 Baruch 5:72
Jude
Jude 13 Wisdom 14:1
Revelation
Revelation 1:18 Sirach 18:1
Revelation 2:10 2 Maccabees 13:14
Revelation 2:12 Wisdom 18:16 [15]
Revelation 2:17 2 Maccabees 2:4-8
Revelation 4:11 Sirach 18:1
Revelation 4:11 Wisdom 1:14
Revelation 5:7 Sirach 1:8
Revelation 7:9 2 Maccabees 10:7
Revelation 8:1 Wisdom 18:14
Revelation 8:2 Tobit 12:15
Revelation 8:3 Tobit 12:12
Revelation 8:7 Sirach 39:29
Revelation 8:7 Wisdom 16:22
Revelation 9:3 Wisdom 16:9
Revelation 9:4 Sirach 44:18 etc.
Revelation 11:19 2 Maccabees 2:4-8
Revelation 17:14 2 Maccabees 13:4
Revelation 18:2 Baruch 4:35
Revelation 19:1 Tobit 13:18
Revelation 19:11 2 Maccabees 3:25
Revelation 19:11 2 Maccabees 11:8
Revelation 19:16 2 Maccabees 13:4
Revelation 20:12s Sirach 16:12
Revelation 21:19s Tobit 13:17
Source: Deuterocanonical References in the New Testament