That is despite a worrying run of form, with Wednesday's defeat to Aston Villa stretching the Clarets losing streak to three matches.
Asked about potential signings, Dyche said: "I think it is unlikely, I don't think there will be pots of cash to spend and I don't think at our level of the market that there is going to be players available.
"You never know so we will keep our ear to the ground and wait and see.
"It is difficult. Historically we haven't made big signings in January so I think it is unlikely that that changes."