The pattern for Vegeta in Super so far has been a moment/s in the sun followed by being overshadowed or defeated, so I'd expect that to happen in the tournament too.
BoG - "my Bulma" powers him up to being temporarily stronger than Goku, only for the latter to get God powers 5 mins later leaving Geets in the dust.
RoF - clearly winning against Frieza, but dies via planet explosion and Goku kills Frieza again.
Champa tournament - he wins the most matches out of anyone but immediately loses to Hit. Goku then whips out Kaioken and is more or less on par with Hit leaving Geets in the dust once again.
Future Trunks - by the end of it Vegeta was definitely stronger than Black, but nope Goku and Trunks gets the 'win' in the end before Zeno cleans house.
So if he were to get knocked out soon hes probably first gonna get a big win before he is taken out.