Two consecutive league wins has put David Moyes' side into seventh, while the club also face a trip to Wembley where they meet Liverpool in the FA Cup semi-finals.
"We have started late again as usual but we want as many points as we can until the end of the season and the more games we play the better we will get," Hibbert told Sky Sports.
"We have kicked on and the teams we are playing now we have dominated.
"We still have seven games in the league and we can't get carried away."
Hibbert admitted his side were almost running on empty heading into Saturday’s victory over West Brom, but insists careful preparation was key.
"Going into the game we were doing everything we could training-wise and with rehab and the lads were feeling all right," said the full-back.
"Once you get into the game you do feel you are low down on energy but we have had eight games this month so there is going to be a fitness issue.
"But winning games means the confidence takes over that.
"The lads were confident going into the game and although we had a sticky first half in the second half we kicked on and showed what we could do.
"The team was unbelievable on Tuesday night [winning their FA Cup quarter-final at Sunderland] and we needed to bring the confidence from that game to kick on and keep the momentum going."