Celtic are fighting on three fronts for silverware this season.
When asked if the Bhoys can win the treble, McAvennie said: “They need to focus on winning the Treble and these guys could do it.”
Celtic fell out of the Champions League during the qualification rounds, and has struggled in the Europa League, having been knocked out with one game remaining.
However, the Bhoys still go strong in domestic football, sitting four points clear of Aberdeen at the top of the Premiership table, with a game in hand over their closest rivals.
They are also in the semi-finals of the Scottish League Cup, and are set to play Ross County at the end of January, whilst their quarter-final tie against Stranraer in the Scottish Cup is scheduled for the start of the New Year.
Ronny Deila’s men will undoubtedly be considered favourites for all three tournaments, and McAvennie believes that they are more than good enough to win the domestic treble, as long as the Bhoys remain focused.
However, even with the treble secured, there will still be a sense that Celtic’s season is a failure, having struggled so much on the European stage.