Celtic are currently dominating the Scottish Premiership, with Brendan Rodgers' side unbeaten in domestic action so far.
Celtic have still not been beaten by a Scottish team so far this season, and they won their first silverware of the campaign by beating Aberdeen at Hampden Park last weekend.
There is now a real belief that Celtic could win the treble during Brendan Rodgers’ first season in charge of the Glasgow club.
Celtic look to be a class above any team in Scotland, and Bitton admits that belief is high around Parkhead.
"Is that possible? Well, everything is possible in football,” the Israeli international said, when asked whether Celtic could go the entire season unbeaten. “We need to believe in ourselves and go game to game.
“But we don’t need to look too far forward and think about being unbeaten all season. We need to make sure we concentrate 100 per cent for every match and do our job.”
Celtic are already eight points clear at the top of the Scottish Premiership table, and they have two games in hand over their nearest rivals, Rangers.
The Bhoys were expected to have more competition following Rangers’ promotion to the top flight, but they have brushed aside all challengers so far.
Celtic are now on track to win their sixth title in succession, and they appear to be making huge progress under the stewardship of Rodgers.