Wolves have two points from a possible 27 but have played all the top seven teams in the table.
They now have a run of fixtures where they will be looking to build momentum and climb out of the bottom three.
Fellow strugglers Crystal Palace visit Molineux next Saturday (17:30 GMT) before Wolves host bottom club Southampton the following week.
O’Neil will be targeting back-to-back wins in those two games, although he claimed after the Brighton draw that they were not “must-win” games.
“I know there’ll be a lot made of the next games,” added the Wolves boss.
“They’re not ‘must-wins’. Crystal Palace are good, they spent £30m on a striker [Eddie Nketiah] from Arsenal; Eze’s pretty good. We need to just be ready in every game.
“We treated today as a game we wanted to win. Palace will be the same. Southampton will be the same. Southampton will be tough when they come – they keep the ball forever, have a real set way of playing.
“So, there will be challenges in every game because that’s the level of the Premier League. But we just keep going. The lads will never stop.
“Coming back late gives everyone a lift. It’s only what we deserved.
“But once you score, this group can be tough to stop when they get some positive momentum and energy.
“It ended up a little bit crazy at the end but I’m delighted for the boys. To still be able to keep fighting speaks a lot.”