The Potters, now in their fourth consecutive season in the top flight, go into tomorrow's [Saturday] clash with Chelsea at Stamford Bridge lying ninth in the table with 11 league fixtures left to play.
Currently on 36 points - 14 above the relegation zone - they are on course, at the very least, to emulate the previous three campaigns by achieving another comfortable mid-table finish, and midfielder Glenn Whelan has spoken this week about his hopes of the team achieving their highest Premier League total to date by hitting the 50-point mark.
Certainly it would seem that getting to 40, the tally generally regarded as that which guarantees safety, is not something Stoke need to worry about, and it has been widely predicted it will not even require that amount of points to stay up this term.
Nonetheless, it is the figure Pulis refuses to look beyond until it has been reached by his side.
Asked about Whelan's target, Pulis said: "We have to do what we have to do. If we get a little bit of luck - which you need at every level - then we could achieve that.
"But it is just about getting 40 points. As soon as that happens, we will look at it after that.
"We must never, ever underestimate the fact that there are always people coming up on the rails in this league and we have to make sure that we stay ahead of the game.
"Irrespective of what we do or don't do, the priority always is to stay (up).
"We had 23 years out of top-flight football and when people start getting complacent, you just have to remember that. Just being in the Premier League is fantastic for this football club."
Stoke have never beaten Chelsea in the Premier League in their seven attempts so far, but they have drawn the last two meetings and came close to claiming victory at Stamford Bridge in their first season back in the top flight.
Rory Delap put the visitors ahead on the hour mark but they were undone by late goals from Juliano Belletti and Frank Lampard as the Blues secured a 2-1 win.
Reflecting on that 2009 contest, Pulis said: "That is one of the games that will stick with me.
"I can see Rory's goal going in - him running through and just clipping it over Petr Cech - and then I can see their two goals, Lampard hitting one and the header at the back post (by Belletti) as well, which was very disappointing for us.
"But you get over them. We will go there and hopefully the lads will perform the way they can."
Stoke defender Andy Wilkinson is an injury doubt for the game against the fifth-placed Blues, who will be overseen in the league for the first time by caretaker boss Roberto Di Matteo following Andre Villas-Boas' sacking on Sunday.
Wilkinson hobbled off early in the 1-0 win over Norwich last weekend with a hamstring problem and was replaced by Jermaine Pennant, a player whose involvement will be of interest after the winger this week denied reports he had recently been fined by the Potters for two breaches of discipline.
Delap missed the Norwich match - the midfielder has also been nursing a hamstring complaint - and, like Wilkinson, will be assessed ahead of the trip to London.