With only two home league wins this season, there is discontent among the fans, who are planning a demonstration today.
United remain in relegation danger after their 2-0 home loss to city rivals Dundee last week.
A 1-0 win at Ibrox on 20 March proved one of several false dawns, but Sturrock has promised that nobody's thoughts will drift to East End Park. That is the venue for Dunfermline's meeting with Celtic in which a defeat would effectively demote the Pars if United could only draw with third- placed Kilmarnock.
Sturrock said: "We need to demonstrate a lot more creativity at home as we have only managed one goal in our last four home matches and need to be getting forward a lot more and finishing our chances.
"The Dunfermline game must be viewed as being of no consequence; our fate is in our own hands. I always believed 11 points in the final quarter of the season would be enough, and we have managed seven to date."
The Kilmarnock manager, Bobby Williamson, has seen his team slump to defeats at Dundee and home to Motherwell and is determined to remain on course for a Uefa Cup position.
"We want to get back on the right tracks after a couple of poor results," he said, "but it won't be easy. United are fighting for their lives, and they are bound to make it hard for us."
The Dundee manager, Jocky Scott, is in relaxed mood ahead of today's visit to Aberdeen.
"We have achieved our main aim of staying up," Scott said, "but we must keep going now and finish the season on a high. I don't want us to fall away like we did after clinching the First Division title last season."
Aberdeen's caretaker manager, Paul Hegarty, is keen to remind his players that mathematical safety is still to be secured, but the only real uncertainty at Pittodrie is over his own position beyond the end of the season.Reuse content