The England international, who was returning from a shoulder injury, was sent to the sin bin in the first half for disputing a call made by referee Robert Hicks and his officials. The in-goal touch judge ruled a drop out in favour of the Broncos, with Tomkins venting his anger that the decision was wrong but only earning himself 10 minutes on the sideline to cool down.
Wane said: "That was the wrong call from the in-goal touch judge, but that is no excuse and it won't happen again. It was the wrong call but that happens in games, the referees make mistakes just like players. They are incidents for me to sort out in the week and not for Sam to do it on the field."
He added: "He is a competitor, I understand he wants to win but he just cannot do that. I don't know what he said to the referee but it must have been severe for him to sin-bin him. No matter what happens with decisions, referees don't do it on purpose. Sam just can't do it."
Wane also revealed prop Lee Mossop will be missing for at least 12 weeks after dislocating his shoulder in the first half. Mossop has had shoulder problems before when he dislocated one in the Challenge Cup Final but it has not been revealed if it is the same shoulder.
He added: "Lee is really struggling, he has dislocated his shoulder and should be out for around 12 weeks I think."
It is another injury setback for the Warriors with Harrison Hanson, Epalahame Lauaki and Paul Prescott all on the sidelines. Wane joked: "I have phoned the wife telling her to get my boots ready."
London coach Tony Rea was pleased with the way his side responded following three successive defeats but still knows they need to get better and quickly.
Rea said: "You don't get points for playing well in the first half. We had to get out and do the same in the second half and we didn't do that. I get a response from these blokes everyday. We are not cracking, we are holding it together and we will find ways to get better and we will be okay.
"We have had a bad few days and the players have been a bit down, but not on each other. They will be okay, we will all keep pulling in the right direction and we will have our moments."