Jones completed team-prescribed educational therapy, the Dolphins reported.
Sam, the first openly gay player drafted by an NFL team, was seen kissing his boyfriend after he was chosen in the seventh round by the St. Louis Rams.
Jones tweeted "OMG" and then "Horrible."
The Dolphins subsequently announced that they were fining Jones and ordering him to undergo educational training.
The next day after Sam's selection, Jones issued a statement through the Dolphins that said, "I want to apologize to Michael Sam for the inappropriate comments that I made last night on social media. I take full responsibility for them and I regret that these tweets took away from his draft moment. ...
"I sincerely apologize to (Dolphins owner Steve) Ross, my teammates, coaches, staff and fans for these tweets. I am committed to represent the values of the Miami Dolphins organization and appreciate the opportunity I have been given to do so going forward."
Last season, the Dolphins made headlines when offensive lineman Jonathan Martin walked away from the team, alleging that he was the victim of repeated bullying.