George A. King II of the New York Post reported the Angels have had contact with Sabathia's representation about joining Ohtani in Anaheim.
Sabathia, 37, is a free agent after spending the last nine seasons in New York. He went 14-5 with a 3.69 ERA and 1.27 WHIP in 2017, a second straight solid season after a three-year stretch of looking to be done as an effective starter.
The lefty said last month he would not have any hard feelings if the Yankees decided against bringing him back.
"If my run is up here—like Joe [Girardi]—I had a great time," Sabathia said on a Players' Tribune podcast. "I was here for nine years with some of the best players on the planet, won a World Series; [these are the] greatest fans ever. I was a Yankee. I can say that. But no, I'm good with it.
"It's weird, I'm good with baseball however it shakes out. If I'm done next year, if I'm done the year after, it is what it is. This is all borrowed time for me. This is extra. I'm just having fun."
Yankees general manager Brian Cashman has discussed Sabathia's return with his representatives, though it's unclear how well contract talks have come.
"CC was unbelievable in the clubhouse. He is a true veteran presence that we need," owner Hal Steinbrenner said of Sabathia last week.
The Yankees paid Sabathia $203 million over the last nine seasons.