Blyth-born Burn, released by the club at a young age, was signed from Brighton and Hove Albion on transfer deadline day last month, and the 29-year-old has impressed in his two starts so far in defence alongside left-back Matt Targett, signed on loan from Southampton.
Fans have quickly taken to Burn, who is set to face Brentford tomorrow.
And head coach Eddie Howe said: “That’s great to see. I think Dan’s fitted in really well, as has Matt, on that left-hand side of defence. You’ve got two new players there. Both have taken to what we’ve asked them to do excellently.
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"They’ve defended very well first and foremost, which is obviously their job. They really have helped our team. I think Dan, especially, has used the ball very well, very composed. Talked well. He’s got leadership qualities. Really pleased with both those players.”