Craig’s side will take on Dunfermline in a midweek League Cup tie, still looking for their first goal of the Premiership campaign.
But the Buddies boss insists his will not panic despite the crisis in front of goal.
"Everyone can see today why we lost this match - we just cannot put the ball into the back of the net," Craig said.
"That's no goals in our first three games, but what I don't want is that to put any pressure on the boys.
"There is no panic. Yes, we would take a ricochet or a 25-yarder, but I've had a word with the players and I don't want them to be too concerned.
"I'm old enough to know that the result is all that matters, but the points will come.
"I'm a great believer that the goals will come too. We have three of four lads who probably should have scored a few already this season.
"I know the fans will feel frustrated and have some anger, but that is only because they care and it is their club.
"We will go on and now get ready for the League Cup game against Dunfermline next week."
Dundee boss Paul Hartley was full of praise for his charges, who remain undefeated since returning to the top-flight.
"It was a great three points," Hartley said. "We know we can play better, but I was really pleased with the manner that we ground out this result. Our work-rate was fantastic.
"The squad have been terrific so far this season, though it was important we got our first three points of the season.
"If you include the cup games, we have now gone unbeaten in our last five matches."