Sapp commented Wednesday after Strahan was not accepted into the 2013 class, and said it was because the Giant was overrated.
"Nobody ever talks about Simeon [Rice,]'' Sapp said of his former Tampa Bay teammate. "Simeon was a better rusher than Michael Strahan any day of the week and twice on Sunday.''
Sapp also said that Strahan didn't succeed in the NFL until the Giants moved him from the right side to the left side, leaving Strahan blocking a weaker player.
"This is a man who wants something given to him and they gave it to him,'' Sapp said. "So have it.''
In February, Sapp started the feud, saying that Strahan was a "media darling" during his first year of hall-of-fame eligibility. Strahan responded to Sapp on Twitter.
"You never cease to amaze me!" Strahan tweeted. "Enjoy your moment. You don't need to take a shot at me to justify yourself to other people."
Strahan has not yet responded to Sapp's latest jabs.