Celtic manager Brendan Rodgers has refused to comment on reports that Steven Gerrard could sign for the club after his departure from Los Angeles Galaxy.

The MLS outfit announced on Tuesday evening that the former Liverpool captain has left the American club after fulfilling his 18-month contract.

The 36-year-old has claimed that he will spend time with his family before taking his next step, which could be either prolonging his playing career at another club or moving into coaching.

There have been rumours that Rodgers, who coached Gerrard for three years at Liverpool, wants the midfielder to sign a deal at Celtic, but the manager has insisted that transfer dealings remain private.

"I never speculate or speak about players coming into the club," Rodgers told reporters. "I never have done and don't intend to start now - that will always remain private.

"The only thing I would say with regards to Steven, he has been an incredible player. I had him for a number of years at Liverpool and he was absolutely brilliant with me. As a young manager going into such a great club, having the captain and real senior player there, to be able to work closely together with him and learn about the club and work together on the field was fantastic.

"He decided to go to America and I'm sure he has had a good spell there. Steven will sit down now and come back and decide what he wants to do. In terms of the speculation, I'm not sure where it's come from, but players coming into the club will always remain private."

Gerrard, who spent 17 years of his senior career playing for Liverpool, scored five goals in 34 appearances for LA Galaxy.