A 2-0 victory over West Brom at Goodison Park on Saturday was their third win in a week - one of which was in the FA Cup. It ended a run of eight matches in 29 days and manager David Moyes admitted he thought his team looked physically and mentally tired against the Baggies.
But with five games coming up in 22 days, including an FA Cup semi-final against Liverpool, Hibbert is confident the team can maintain their momentum, and said: "Going into the game we were doing everything we could training-wise and with rehab and the lads were feeling all right."
He added: "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."
Everton have suffered just two defeats in 11 league matches and Hibbert is keen for them to continue that form and not be distracted by their semi-final.
"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," added Hibbert. "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."
Source: PA
Source: PA