"It was very tough," cornerback Alfonzo Dennard said about the loss of Talib. "After he went out, they attacked. It was very hard."
Although Welker starred under Belichick for six years, he chose to move on last offseason after becoming a free agent.
While with the Patriots, Welker was benched to start a game for comments about New York Jets coach Rex Ryan. In 2012, Welker took a sarcastic jab at Belichick when his production skyrocketed following a slow start to the season, saying, "It's kind of nice to stick it in Bill's face once in a while."
After choosing to sign with the Broncos, Welker said in a Sports Illustrated report that he had to "endure" Belichick during his time in New England.
Welker finished with four catches for 38 yards in Sunday's victory, which vaulted the Broncos into a Super Bowl matchup with the Seattle Seahawks.
ESPNBoston.com's Mike Reiss and Field Yates contributed to this report.