And with Strahan a leading candidate to join him in the Hall of Fame this year, Sapp is unhappy with his fellow former lineman again.
"When you stack it up, and he only has four straight Pro Bowls and a mythical sack record that y'all still walk around like it's something to be praised -- I mean y'all have got to get off your high horse in New York and speak about the real," Sapp, now an analyst with the NFL Network, told Newsday. "And when you really measure him up, he comes up short."
He added: "I thought you got into the Hall because your resume stacked up with the echoes of the game, not just the good, the great. And four straight Pro Bowls [is good], but it ain't great."
Hall of Fame voting will take place Saturday.
Back when Sapp called Strahan's sack record "a travesty," Strahan responded by calling Sapp "a jackass."
And Strahan, now a Fox football analyst and co-host of "Live with Kelly and Michael," didn't take the latest round of fire lying down either, this time taking a sarcastic tone.
"I'm all hype," Strahan told his fellow Fox analysts. "I lasted 15 years, all hype. I had 141.5 career sacks, all hype. I was always a starter. I played left end, and that made me get sacks. My coaches kept putting me in the game because they felt it gave us the best chance to win, and that was all hype."