Bournemouth will head into the contest second-bottom of the league standings, although they did win their last away match in the top-flight, seeing off Stoke 2-1.
Callum Wilson missed a great one on one and Marc Pugh hit the post late on, before Cook's thumping header stole the points for the visitors to lift the Cherries out of the relegation zone ahead of the global break.
"We should have sealed the game earlier, we haven't been clinical enough all season but we got the points we deserved in the end".
"Back to back away wins is huge, our away record prior to this wasn't great". You need to know that you can win anywhere. It's never nice being in the bottom three, and we needed to lift ourselves out of it, and hopefully we can stay out of it now. We had enough to win the game before that moment, but we'll take any win, regardless of how it comes.
Having withstood the early barrage, Bournemouth grew into the match and Josh King dragged wide from the edge of the area. "He was strong, he pressed, he ran, he looked a goal threat and if he plays like that he'll get the goal total he got last season".
Howe had made five changes to shake up his side - Callum Wilson missing two good chances on his first league start since 21 January.
Four times this season Bournemouth have conceded late to lose in the top flight.
However, the visitors gradually forced their way into the game and it was they who finished the half in menacing mood. We were giving them chances to counter attack.
"Maybe the break is good, we can keep working with the players".