He did, however, go through the offensive linemen positional drills, and didn't disappoint.
"They both have ballerina feet," Mayock said. "They have enough length, especially with their arms. And, they can create movement in the run game."
Tunsil's decision not to run came two days after Tunsil told NFL Media senior analyst Gil Brandt that he would complete the 40-yard dash in less than five seconds, an excellent time for an O-lineman.
Instead, Tunsil -- like his college teammate Laquon Treadwell -- is saving his 40 run for Ole Miss' pro day, which will take place on March 28 in Oxford, Miss.
However, Mayock proposes that Tunsil's grip on the top tackle spot has a challenger in Notre Dame's Ronnie Stanley, who did go through a complete combine workout Friday.
"To me Ronnie Stanley is a top-10 pick. Would you pick him No. 3 overall?" Mayock said during a conference call with reporters on Monday. "I think he's closer to Tunsil than a lot of people do, so I think he could be in the conversation, also."
NFL Media draft analyst Lance Zierlein echoed Mayock's point that this could be a two-tackle draft.
"Stanley has a similar skill set to Tunsil," Zierlein said. "Stanley has the same ability. It's Stanley and Tunsil when it comes to elite pass protectors"
Could Tunsil's decision to skip out of the combine's runs and jumps turn teams off? When Indianapolis Colts general manager Ryan Grigson met with reporters on Thursday, he suggested just that.
"You're not going to say a guy's soft because he's not doing this or that. But if a guy just flat-out crosses his arms and says 'I'm not doing it,' that's where it's going to turn you off" Grigson said. "You want a guy to compete in this arena. You want the cream to rise to the top. ... I like seeing guys get in there and get personal bests and do freakish things. That's something that sticks with you."
In the interim, NFL teams in the market for a top offensive tackle prospect will just have to wait until March 28 to gather a complete report on Tunsil.