Rovers slipped down to sixth in Sky Bet League Two after Ryan Croasdale and Lorent Tolaj fired Vale ahead before Jamie Sterry grabbed a late consolation for the hosts with a deflected effort from 30 yards.
However, after the final whistle, home supporters were reported to have entered the tunnel after the game as opposition players and officials left the field of play.
The following was stated in a club statement: “The club wishes to strongly condemn the alleged actions that occurred as officials and opposing players departed the field after the match against Port Vale.
“We have received reports of incidents involving home supporters as individuals entered the tunnel after the final whistle and promise a full investigation into those events.
The club will not put up with disrespect for players, employees, or officials, and those who engage in such behavior will face consequences.
Grant McCann lamented a stressful workday as Rovers lost due to defensive blunders. Even though his team played well, McCann was unable to hide his annoyance as costly mistakes resulted in defeat.
He said: “It’s a really frustrating day at the office for sure because I thought we’d done more than enough from an attacking point of view to win the game but when you defend like we did for the two goals, ultimately we didn’t deserve to win.
“Watching them back, it has me even more disappointed because it’s really poor from us.
“We just keep getting to a certain point where we get a good win or start to build a bit of momentum and then we just slip back again when we’ve got a good chance to leave the chasing pack behind. But we just pull ourselves back in the mix.
“We’ve done that too many times this season and I’ve said to the boys after the game that it has to change to make sure we can get ourselves away from people. I’m just really disappointed for sure.”