Should Saints prevail in their fifth round replay away to Ross County, their reward will be a daunting trip to face either Hearts or St Johnstone in their bid to make the Scottish Cup semi-finals for a second time in three years.
However, Buddies strike ace Hasselbaink is not even looking as far ahead as next Tuesday's rematch with Derek Adams' side and instead only has Saturday's home SPL fixture against Motherwell on his mind.
Having come on as a second-half substitute against County, the 21-year-old hopes he has done enough to keep his place for the visit of the Steelmen to Greenhill Road this weekend.
Hasselbaink said: "We know that the draw is a tough one for whoever comes through between us and Ross County but there is no use worrying about that right now.
"Next we have Motherwell coming to St Mirren Park and we know that they are in great form just now having won their last three games and scored many goals.
"So I think you have to forget about the cup ties both in terms of the replay and then the possibilities in the quarter-finals."
Having found himself an unused substitute in three of the last four games, Hasselbaink admits he has been frustrated on the bench.
But the Dutchman remains confident his 45-minute second-half cameo will convince Buddies boss Danny Lennon to give him more game time against Well.
He added: "It was good for me to get off the bench and hopefully I stay in the gaffer's thoughts for Saturday.
"But when you are on the bench and coming on here and there then there is pressure to make an impact and that is not an easy thing to do.
"So it is up to me to also keep working and doing my best in training and to try and keep learning and getting better with every day."
With Richard Brittain's missed penalty on Saturday throwing Saints a cup lifeline, Hasselbaink has no doubt the Paisley men must improve to survive in the Highlands.
He said: "Ross County are a very good team and that is why they are at the top of the First Division. But we know we can and have to do better when we go there next Tuesday.
"I think if we can get a positive result against Motherwell on Saturday that would be a very big help towards that."
Full draw: Hearts or St Johnstone v St Mirren or Ross County, Ayr United or Falkirk v Hibernian, Dundee United v Celtic, Motherwell v Aberdeen or Queen of the South. Ties will be played on the weekend of March 10 and 11.