The Swiss outfit host the reigning English champions in the final group stage match of the Champions League tomorrow night and require a victory to progress to the knockout phase.
Last time the two sides met, Basel held United to a thrilling 3-3 draw at Old Trafford in September and Streller feels that result will not be easily forgotten by Sir Alex Ferguson’s men.
"At 2-0, it seemed to me they didn't take us seriously," he said.
"But after that, I know they will not underestimate us again. They will take us seriously because now they know we are a good team. We have proved it already.
"Of course the pressure is bigger for them. In 99 per cent of the games they play, Manchester United are the favourites.
"I am sure they can cope with the pressure but maybe there is one or two percent in the back of our minds that can make it an advantage for us."