The Ducks said that he will miss the remaining three games of their four-game road trip with a hand injury suffered in the one-punch fight.
"I'm going to say it wasn't the hand that delivered the punch," Ducks coach Randy Carlyle said, according to the Orange County Register.
Bieksa, who was sent from Florida back to California on Thursday could miss more games, with Carlyle saying he "will be out an extended period of time."
After the two players served unsportsmanlike conduct penalties in the first period, they immediately dropped their gloves and engaged. With the Wells Fargo Center ringing a bell to signal the start of their fight, Bieksa lunged forward with his back foot in the air and slugged Gudas on the chin with a leaping right hand, dropping the Flyer with one punch. Both were given fighting majors.
Information from ESPN's Greg Wyshynski was used in this report.