Defensive back Jonathan Hefney apologized Thursday for offending fans with comments on the social media website. The tweet involved some lewd comments and a link to a photo of a partially naked woman.
The CFL also fined Hefney an undisclosed amount, saying "the tweet was deemed to be offensive, inappropriate and has brought the league into disrepute."
The team said it was grateful for the apology, but still plans to make policy changes when training camp opens in the spring.
"Obviously it wasn't detailed enough and it wasn't strict enough," Bombers spokesman Darren Cameron said of the policy. "We appreciate him sending a note out to try and rectify it ... we can't have things like this happening, whether it was meant to be or not."
Hefney sent "his deepest apologies" to fans and thanked them for their support.
Previous tweets for slagging other teams — and even criticizing Bombers management — have landed him in hot water before. Both Hefney and defensive back Deon Beasley apologized last month for posts made after the free agency period opened.
When lineman Don Oramasionwu left Winnipeg to sign with Edmonton, Beasley called the Bombers "cheap'' on his Twitter account.
Hefney, a two-time all-star, also weighed in.
"Man seems like every team has gotten better except us. ... I guess our 3 quarterbacks gonna play some receiver get the F outta here man,'' he tweeted.
On the field, Hefney is a proud member of Swaggerville, the Bombers backfield that was key to getting the team into the Grey Cup last year. He's spent most of three seasons with Winnipeg.
He's an active tweeter off the field, much to the delight of the 4,635 followers he had accumulated as of Thursday afternoon.
Hefney has also previously tweeted about a contract offer he thought was substandard.
"I'm sorry Winnipeg but that contract proposal was a legit slap in the face. .. Imma go 2 sleep on that and know I'll never play there for that type of money..."
He also tweeted about the Lions after Winnipeg's Grey Cup loss to B.C. last year.
"Everything about the Grey Cup was set up for B.C. Y'all still an avg. team with some of the softest players in the league."
Hefney was home in the United States when he posted his latest newsworthy tweet. Cameron said players have to realize they are representing the team, even during the off-season.
"I honestly don't believe he would purposely cause harm to our organization or our fans, but I think he's starting to understand that whether it's the off-season and he's down in the States or he's up here playing football that he's representing the organization," he said.