"They said I tore my hamstring. I'll be out for 2-4 months," Browne said on Twitter. "I'll be back stronger!"
Browne added that he will not need surgery on the hamstring.
The injury occurred early in the opening round when Browne delivered a kick. Shortly thereafter, he began favoring his left leg and was less aggressive.
The less mobile Browne was unable to elude a right hand from Silva and was knocked out at the 3:27 mark.
It was the first loss as a mixed martial artist for Browne, who fell to 13-1-1. Silva improved to 17-4 after halting a two-fight skid.