The 29-year old Australia international has landed at Pride Park after Rams loanee Matt Duke returned to Hull City following his stint at the club.
Jones joined the Reds in August last year but has made just two appearances for the Anfield club, primarily sitting on the bench as back-up for Pepe Reina.
"Obviously, Roy Hodgson signed me and I haven't played yet under Kenny," said Jones.
"Whenever you go out on to the pitch, you want to show people what you can do.
"I've got eight games to do that here at Derby and I'm looking forward to getting some matches under my belt."
Jones admits it has been good for his development working with Reina even if it has been tiring as the Liverpool number two.
"It's been good to work with him," added Jones. "He's a great guy and we get on well.
"He has shown why he is regarded as one of the top keepers.
"For me, it's been a bit frustrating but I knew what I was getting into.
"Even so, when you've been playing and then all of a sudden you're not, you do get that bug that you want to be out there playing.
"So I'm really looking forward to being out on the pitch."
17th-placed Derby will return to action when the international break is over with a trip to fourth-placed Cardiff City on April 2.