Sunderland are looking to sign a striker in the January transfer window.
The Wearside outfit are desperately hunting a clinical front man to increase their goal threat and start turning draws into wins.
Sunderland have only won three games this season due to their inability to convert their chances and Poyet admits that he is looking to bring in a quality marksman in the new year.
"We have talked about strikers, of course,” Poyet told the Northern Echo.
“I always say, the easiest way to sort out a few problems is to buy a striker. But it has to be at the right price for the right player. Everybody is looking for the same so it's a competition and there aren't many out there like that.”
Sunderland currently have the likes of Steven Fletcher, Jozy Altidore and Connor Wickham to pick from to fill their striking positions, but all three have struggled this season.
Fletcher has been the best of a bad bunch - notching four times - but Wickham only has two goals to his name, while Altidore has not hit the back of the net in the Premier League.
As a result Sunderland have only scored 16 times in their first 19 matches and this total will need to be improved if they are to move away from the relegation spots in the second half of the season.
Poyet's men are currently four points ahead of the bottom three, but without collecting victories more regularly it will be very tough to move further away from the drop zone.
Sunderland have been linked to the likes of Burnley's Danny Ings in recent times and they are still thought to be hopeful of doing a deal with Liverpool for long-term target Fabio Borini.