But reaching the knockout stages seems to get tougher every term given the quality of teams in the continent's top tournament and the former Springbok second row admits that only the best will be good enough in all six pool matches.
"There can be no major slip-up in a Heineken Cup pool. One point here, or one point there can make all the difference between surviving until the knockout stage and getting a home quarter-final," said Muller, whose side also face Montpellier and Benetton Treviso in Pool 5.
"It's great that the expectation in Ulster has changed. We've made massive strides. We failed to get out of our pool for 13 years in a row, and now we've made the knockout stage three years in a row.
"We've played in a semi-final and a final, and okay we've nothing in terms of silverware to show for that progress, but, with a little bit of luck now, anything can happen.
"The squad is in a good place right now. We've got lots of excellent young players, lots of competition for places and I'm confident that we can do really well this season."
Muller and co were handed a big boost earlier today as No8 Nick Williams committed his future to the province.
The New Zealander has made a major impact since signing from Aironi the summer before last and Ulster's director of rugby and 1999 Heineken Cup winning hero, David Humphreys, is delighted he'll be staying at Ravenhill until at least the summer of 2016.
"Nick's level of performance throughout last season was instrumental to Ulster finishing top of the RaboDirect PRO12 and extending his contract for another two years is a huge boost to everyone associated with Ulster Rugby," said Humphreys.
"He is a genuine entertainer and is someone who possesses the ability to inspire the players around him and get the crowd on their feet. Off the field, he's a tremendous personality to have around the dressing room and I'm delighted he's committed to Ulster."