An Ian Evans red card knocked the wind out of their sails in an opening defeat away to Treviso while last weekend, Ulster clinched a 16-13 victory at the Liberty Stadium thanks to Paul Marshall's late try.
But Tandy has been quick to pour cold water on suggestions that something radical must be done to get Ospreys back to winning ways.
"I don't think it is a crisis or something," said Tandy.
"We were a champion team two games ago and all of sudden people are looking in and thinking it's doom and gloom, but it's not.
"The boys are in great spirits but they are frustrated, just as much as the coaches, because they love winning.
"We crack the whip, whether we win or lose, but I don't think things should change on the back of two defeats."