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 stepped away from professional soccer after coming out as gay earlier this year.
LA coach Bruce Arena indicated that the length of Rogers' stay was undetermined.
Rogers was born in Southern California and still has family in the area.
"There’s a good chance that I might come back to [soccer] 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.
Rogers played for the 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 Dilly Duka and Dominic Oduro in February.
"Before he came out and his decision we made that move because we believe Robbie Rogers is a very good player, knowing that he would probably at some point 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 haven't contacted the Fire to discuss a trade.
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