Dundee United manager Peter Houston insists his side have plenty to play for in Tuesday's trip to face Rangers.
Celtic boss Neil Lennon said following his side's 2-0 win at Kilmarnock on Sunday that he was looking for "someone to compete" with Rangers.
"We'll go to Ibrox going to try to win the match," said Houston. "We always try and win every game we play in and Tuesday's no different."
"At this stage of the season we have to win if we want to get third place."
Prior to Sunday's match at Rugby Park United striker David Goodwillie commented that he hoped Rangers would win the SPL title and Celtic the Scottish Cup - in order for the fourth-placed side to be guaranteed a European spot - remarks that Lennon labelled as "ill-timed".
However, United beat Rangers 3-2 on their last trip to Ibrox, with Goodwillie scoring the winner, and require maximum points to overhaul Hearts in the race for third place, which Houston maintains is his aim.
For United to claim third, they must win both their remaining games and hope Hearts lose theirs - home to Celtic on Wednesday and on Sunday's final day of the season at Tannadice.
"It's still a long shot but we'll still try for it," said Houston. "We'll try our best to win on Tuesday night and it will be up to Wednesday night's game to see if it goes to a last-day finale.
"I would like that opportunity."
Hearts currently hold a five-point advantage over United, who have already secured fourth place, and Houston knows if Celtic lose at Tynecastle on Wednesday the Edinburgh club will take third.
"It's not in our hands," he added. "We could win at Ibrox on Tuesday and Celtic could lose at Hearts.
"It could go all sorts of ways, so I'm not thinking about our chances of getting third.
"A lot of people didn't expect us to win at Ibrox (earlier in the season). The great thing about the last time we played there is that we twice came from behind.
"Other times when we've been through there when we've gone behind we've capitulated and lost heavily.
"We always go and try and play. The one thing Celtic and Rangers both know is they'll get a game of football against us - we won't camp on our 18 yard box.
"It will be an open game. We go for it. Sometimes it goes for you, sometimes it doesn't.
"Dundee United are going to Ibrox to win three points, like Dundee United go anywhere at any time during the course of the season."