The Blues were beaten 3-1 by Everton at Goodison Park on Saturday, as they were condemned to their third defeat from five games thus far this season.
Begovic admits that the squad have struggled to come to terms with their poor start to the season, but maintains that they have the ability to turn their form around.
"It is a case of getting going, [getting the] season back on track and a good result on Wednesday will get the confidence going again – we need a boost at the moment and hopefully it will come soon," Begovic told reporters.
"No-one was kicking off in the dressing room – nothing. We had to pick ourselves up. There are lots of games to go, we cannot feel sorry for ourselves or points fingers. We will get that good feeling through the squad again.
"I think we still have good character, guys who believe in themselves, guys who can make a difference and guys who have a lot of confidence. Sometimes, that can be an issue."
Begovic insists that the squad will not let their heads drop, as the club prepare for a Champions League clash in midweek and a derby meeting with Arsenal next weekend.
"We have characters and we will not hang our heads, football is like this and you have your bad spells. We will get it out of our system, kick on and get stronger and stronger as the season goes on," he added.
"We have confidence in this dressing room, guys know we can go on a big run. Once thing start clicking for us, psychologically, mentally, physically, we can be a very powerful team and everyone knows that.
"We just need to get going and get a decent result on Wednesday. Arsenal is a big game and one we look forward to . But we cannot look past Wednesday as we want to start Wednesday on a good note.
"Maccabi will be a good test and it won’t be easy. We need a few days to get ready, dust ourselves down and kick on."