NFL Commissioner Roger Goodell says that once the NFL completes its investigation, the league will "make a determination" if the Favre should be punished.
If Favre is found to have violated the NFL's conduct policy, he could be fined or suspended.
Crimesider spoke to CBS News legal analyst Trent Copeland, who said that even though "Favre is a hall of fame-caliber quarterback, at the end of the day, he's an employee." And, according to Copeland, just like any other employee, Favre supposed to follow the rules and regulations of his employer, especially regarding the treatment of other employees.
The texts were allegedly sent while Sterger was a sideline reporter employed by the Jets - while Favre played for the team. The Vikings, Favre's current team, play the Jets Monday night in New York.
According to the website Deadspin, which broke the story in August and posted what they say are messages from Favre last week, Sterger wasn't the only woman who received inappropriate and unsolicited text messages from Favre. The sports blog reports that Favre also pursued two team massage therapists while he was playing for the New York Jets.
According to one of the masseuses, the incident happened in 2008 during training camp at Hofstra University, says the site.
The two therapists, both of whom are anonymous in the report, say that Favre pursued them via text messages - one of the women describes the texts as "just nasty stuff." One of the massage therapists claims she and her husband contacted an attorney, but was told they had no grounds for a harassment case, according to the site, because she was a private contractor.
The NFL said it was looking into the Deadspin allegations about Jenn Sterger under its personal conduct policy.
When Favre was asked about the allegations last week, Favre said his concern was for Monday's game with the Jets, and he was "not getting into that."