"At the NFL Honors, we were getting ready to take our seat and he said that," Prescott told team writer David Helman. "It's interesting now, looking back."
Cobb spent eight seasons with the Green Bay Packers before signing a one-year deal to play for the Cowboys. The 28-year-old is coming off an injury-plagued campaign in which he managed just 383 yards and two touchdowns.
"I actually didn't think that it would be an option going into free agency until I saw (Cole) Beasley leave," Cobb said. "Then I knew that it was a real possibility and that it could happen. And we were able to get something done."
Injuries have slowed Cobb in recent years, but he was one of the top slot receivers in the league earlier in his career. The Kentucky product's production peaked in 2014 when he totaled 1,287 yards and 12 touchdowns through the air.
The Cowboys signed Cobb with the belief he'll improve their depth behind Amari Cooper and add another dimension to the offense.
"I mean, honestly, put him in the backfield, put him outside, put him inside, ask him to block, ask him to take a jet sweep," Prescott said. "I mean, he's got film doing all those things and doing all those things really well. I think if we're not utilizing all of his athleticism and his versatility, then we're cheating him as a player and we're not getting everything we want as an offense."
The Cowboys won the NFC East last year with a record of 10-6 but eventually fell in the divisional round of the playoffs to the Los Angeles Rams.