Poyet recently replaced Paulo di Canio, who was sacked as boss of the Black Cats following their dismal start to the season. They have taken just a single point from seven Premier League games.
Sunderland are currently propping up the rest of the table which suggests that the squad is in desperate need of new players.
But speaking to the Hartlepool Mail, Poyet said: "To be honest, we didn't talk about funds for team strengthening before I came here.
"My idea is to assess the players that are here and make sure I check them properly - which ones are down, which ones want to be here and which ones can help me.
"I will learn things this way. And then, depending on what I see in the next month or two, I will talk to the owner.
"But I don't think we can start talking too much before then.
"At the moment, it's not something I'm even thinking about."