Rodgers has brought in Joe Allen, Fabio Borini and Oussama Assaidi on permanent deals since arriving from Swansea City, but says the club "is in need of repair" before it is able to purchase more expensive players.
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"No, not at this stage," Rodgers told reporters when asked about further signings. "I am aware of the links and it is great that those players want to come here but the reality is that we are not in a position to do deals like that.
"The club, in financial terms, is in need of repair so those players linked and for those sums linked, I don't have the ability to do that unfortunately. Certainly not in this transfer window anyway. That is the reality of it. Unfortunately it is going to take more than one window.
"The transition of the squad is probably going to take this window and through to next summer. This is an incredible club and so some players who come here, even if you want to move them on, are not going to just walk out of the door because of wages and other factors.
"It is going to take us a wee bit of time to build the squad that we want but, in the meantime, we just have to keep our heads down and work hard to get results."