@Mia528,
Yeah it could be a good tactic to talk with him. Hard for us to tell all the dynamics.
I had a co-worker - we were basically the same level position that we worked with a particular client and had people reporting below us as well. Well he used to talk over in meetings with our team and with our client. Basically if I was saying something he would just jump in and talk over me and finish. He was newer to the team (although was with a different client before) and a bit younger than me so less experienced.
I finally pulled him aside and told him how his talking over me in meetings will give the impression I don't know what I am talking about and give less confidence of my abilities to the client. He recognized that and was better about it - but to me it was obvious this was not his intention - just that he had a hard time holding himself back.
It can work, but it really depends on the dynamics.