Verrett saw a specialist on Tuesday after the team's 35-21 loss to the Denver Broncos last Thursday night. He was diagnosed with a torn labrum that will keep him out of San Diego's game against the Miami Dolphins on Sunday.
The Chargers will re-evaluate the injury after the team's bye during Week 10.
According to Rapoport, the Chargers will not explore surgical options until the offseason.
Verrett also had surgery in March to repair a torn labrum that kept him out of spring practice.
The 2014 first-round pick was expected to miss his second straight game in Week 8, but he returned on a short week to take the field against the Broncos.
Verrett aggravated his shoulder helping shore up the San Diego secondary against Peyton Manning and the Denver offense.
San Diego will monitor his recuperation over the next few weeks, according to Kevin Patra at NFL.com. If Verrett's inflammation improve he could make a return.
The Chargers, 5-3 and second to the Broncos in the AFC West heading into their matchup in Miami, will field a defense that is now without Verrett and several others, including cornerback Brandon Flowers.