Saints have been quick to bounce back from their Europa League penalty shoot-out defeat by FC Minsk by earning a hard-fought point at Kilmarnock and then thrashing Ross County 4-0.
There was real disappointment at McDiarmid Park after St Johnstone missed a number of chances following their win in Belarus as they failed to build on their surprise win over Rosenborg.
But they have put that behind them and travel to Tannadice to face Dundee United still unbeaten in the Scottish Premiership.
Midfielder Davidson said: "Obviously we went out of Europe but the boys can take a lot of positives from that and seven points out of nine in the league. It's up to us to build on that start.
"It was good that we had to play Kilmarnock on the Sunday because there was no time to dwell on the European defeat.
"We had to make a lot of changes with the game going to extra-time. That looks like a good point now looking back.
"We made a few changes again on Saturday and put in a very good team performance to beat a team who had a very good season.
"There was no time to dwell on it and it's out the system now. All the focus is on Dundee United."