With the Welsh side suffering five defeats in their last six league games to remain one place and two points behind Hull, Clement believes one of the two teams will go down at the end of the campaign.
Fernando Llorente's 10th-minute header and a deflected Tom Carroll strike with 20 minutes remaining lifted some of the gloom around Liberty Stadium.
- There were just 60 seconds between Marko Arnautovic's missed penalty for Stoke and Tom Carroll's goal for Swansea.
The Swans are two points adrift of safety after losing five of their last six games - and as they host Stoke today, Clement has a clear message for his players.
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"If the gap had gone to five points with four games left I think it would have been very hard for us".
The Swans boss said: "My players didn't get too comfortable being out of the relegation zone because to get to that position, we had to fight and scrap for everything". We played terrific. We rode our luck but overall deserved to win and can look forward.
"I understood at halftime it was 0-0 at Hull and they were down to 10 men".
AFC Bournemouth's Benik Afobe celebrates scoring his side's second goal of the game with Joshua King (right) during the Premier League match at the Vitality Stadium, Bournemouth. It is a terrific result for them. We have massive game next week at Old Trafford.
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"But I have reinforced this point that we have to play under this pressure".
Hull's home and away form could not be more chalk and cheese.
"We made it hard for ourselves". At 1-0 for the most part we were okay but clearly the game has changed on missing the penalty - if we could get back on terms, who knows?
Ayew then almost got a third for Swansea, breaking free on the counter but Butland was there again to keep Stoke in the game. "In the event that you are away you 've got to be sure to are in the match and don't surrender early which is really what we did", Hughes told BBC Sport. "He said after the game he didn't feel at his best, and that's obviously had an impact on the way he played".
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