The Tigers slipped to a 1-0 defeat against Stoke City at the weekend but remain clear of the Premier League’s bottom three with six games to play, the first of which is a big home game against Swansea next Saturday.
“They’re all big games and as I’ve said all along, it’s all about your accumulation of points,” said Bruce.
“There were some crazy results at the weekend – some went for us and some didn’t. We have to keep ourselves in a position where we’ve been all season and that is pretty much safe and away from that bottom three.
“Let’s not forget that we’re a newly promoted club making a heck of a fist of it and we’ve got it all to play for.”
Reflecting on Saturday’s defeat against Stoke, Bruce admitted there was an element of fatigue amongst his players following their exertions with ten men against West Ham less than 72 hours earlier.
“It was one of those frustrating afternoons where for an hour I thought we were comfortable away from home,” added Bruce.
“Unfortunately we’ve then made a mistake and at this level, you’re going to get punished.
“There were a lot of tired legs towards the end after last Wednesday, but even so I didn’t think we deserved to lose and we had arguably the best two chances in the game.
“That’s the bit that leaves you frustrated because away from home, you need to be taking those chances.
“But it wasn’t to be and we’ll dust ourselves down in disappointment because I don’t think we deserved to lose either of the last two games but we have done.”