Sale scored three first half tries to secure a 19-6 win over table topping Saints, but Dimes said finishing in a play off spot could be asking a little too much.
"If we get into the top four it's anybody's competition. It's probably a little bit too far for us at the moment so we are focusing on getting into the top European competition, whatever it may be.
"If we can win two or three more games, and get bonus points in the games we lose, then we will see where we are."
Sharks have a tough couple of weeks head of them, starting with Bath on Friday. Diamond warned his players they would have to be at their best again to win.
"This time last year we were scrapping for our lives, this year we are comfortably mid table. We might be suffering from a little bit of altitude sickness for a couple of weeks but we have Bath to come, as well as Quins, Exeter and Leicester who are big sides.
"If we don't have the same energy and attitude in those games then we won't win them, if we do we may well win them."
The boss was full of praise for his sides attacking and defensive efforts, as Sale kept the Saints from crossing the whitewash.
Dimes explained how his side go about preparing for big games, saying: "We see how it is every week. We see who we are going to play then we challenge the lads in training to get a result.
"What helped us last year was our togetherness, when we had to go through tough times and had to scrap out from Christmas and it served us well. In tight games like today that resolve comes through."
Diamond finished with a sobering message for his side, who had less than a week to prepare for their next encounter.
"All the celebrations are over. We have had a little sing song and now we go down to Bath next Friday. They're a top side."
SALE SHARKS NEXT HOME GAME AT THE AJ BELL STADIUM IS ON THURSDAY 3RD APRIL WHEN THEY ENTERTAIN NORTHAMPTON IN THE AMLIN CHALLENGE CUP QUARTER FINAL KICK OFF 8PM. TICKETS ARE AVAILABLE BY PHONING 08444-994-994. FOR CALL BACK PLEASE EMAIL firstname.lastname@example.org TOGETHER WITH YOUR NAME AND PHONE NUMBER