French left-back Cissokho was quoted as saying that he had “agreed” personal terms with the Reds this week ahead of a potential move to Merseyside from Valencia.
And Liverpool were reported to have tabled a £22m bid for Atlético Madrid striker Diego Costa last week as the uncertainty over Luis Suárez’s future continues.
However, the Northern Irishman insisted that there was little to report in terms of potential new arrivals at Anfield when he addressed the media in Dublin on Friday evening.
“There’s nothing on the Cissokho story,” Rodgers said.
He added: “I believe Costa has signed an extension. There’s nothing in terms of players to add.
“We’ve signed players early on and we hope to sign some more before the end of the window. In the meantime, there’s nothing at the minute.”
Rodgers’ Liverpool take on Celtic at the Aviva Stadium on Saturday in their final pre-season friendly.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news