Rogers is back in training with a professional club for the first time since stepping away from the game in February.
The 25-year-old had previously removed himself from professional football after coming out as gay earlier this year.
"There’s a good chance that I might come back to [football] but I need a few months to chill out, hang out with my family, go surf in California, just relax," the former U.S. international midfielder told CNN
Meanwhile, LA coach Bruce Arena has indicated the length of Rogers' stay is undetermined.
Rogers played for Columbus Crew for five seasons, winning the 2008 MLS Cup. A speedy left winger, he joined Leeds United in 2012 and went out on loan to Stevenage for a brief spell. He left Leeds prior to coming out.
The Chicago Fire acquired the MLS rights to Rogers via a trade involving Columbus' Dilly Duka and Dominic Oduro in February.
"Before he came out and made his decision we made that move because we believe Robbie Rogers is a very good player, knowing that he would probably leave his team in England. That hasn’t changed," Chicago coach Frank Klopas said, according to the Fire's official website.
"It’s great that he’s back into it. He's a young man with a lot of years left and it's something he loves doing. You can never get that back when its past. His home is in LA and he went to go back and play and I think that’s great news."
Klopas indicated that the Galaxy have not contacted the Fire to discuss a deal for Rogers.