The National Football Post, citing two sources, reported that Incognito expected the linemen to attend. If they failed to show up, Incognito would fine them in the club's kangaroo court and mock them for not being part of the group, one of the sources said.
"Richie wanted to set up Richie's world as a way for everybody to act," a team source told the National Football Post. "Richie thinks everybody should act that way. He doesn't get that some guys aren't into that behavior. Some guys don't want to constantly explain to their wife or girlfriend why they have to go to a strip club."
This is the latest news to surface about Incognito, who was suspended by the Dolphins on Sunday for conduct detrimental to the team amid accusations he bullied and used racially charged terms against fellow lineman Jonathan Martin, who left the Dolphins last week.
The NFL is investigating whether Incognito harassed or bullied Martin, and whether their teammates and the organization mishandled the situation. Martin will meet with Ted Wells, the NFL's independent investigator, at the end of next week in Los Angeles, a league source told ESPN NFL Insider Adam Schefter.
Martin, a second-year player out of Stanford, is with his family in California, where he is undergoing counseling for emotional issues.
Martin's lawyer, David Cornwell, released a statement Thursday that said Martin endured "harassment that went far beyond traditional locker room hazing."
Also on Thursday, it was revealed that Incognito was investigated last year for harassing a volunteer at the Dolphins' annual golf tournament by allegedly molesting her with a golf club, according to Aventura, Fla., police.
The original police report states that the alleged incident happened at the Turnberry Resort & Club in Aventura, but no charges were filed against Incognito.
The 34-year-old volunteer told police Incognito had been drinking and was "acting very inappropriate towards her," and that she went to police after Incognito said he wouldn't apologize.
The report states that the volunteer told police that Incognito "used his golf club to touch her by rubbing it up against her vagina, then up her stomach then to her chest. He then used the club to knock a pair of sunglasses off the top of her head" before continuing his aggression toward the woman, the report states.
Information from ESPN NFL Insider Adam Schefter and ESPN.com Dolphins reporter James Walker was used in this report.