Swansea started impressively in Lancashire only to be left soaking up pressure for much of the contest as Preston created the game’s better opportunities.
Milutin Osmajic wasted the best chance of the night, scuffing wide of the target when he seemed certain to score early in the second half.
Eom Ji-Sung went closest for Swansea with a free-kick, but it was Preston who were left frustrated by the stalemate having looked the more likely winners for long periods.
Swans goalkeeper Lawrence Vigouroux claiming a second successive clean sheet as Sheehan’s side made it four points from two games since the Irishman took over the coaching reins from Luke Williams just over a fortnight ago.
The point gained leaves the Swans in 16th, with the gap to the bottom three now standing at 10 points.
“It was always going to be a different type of game to Blackburn, and that proved to be the case,” said Sheehan after the match.
“I thought in the first 25 minutes we were excellent. We came out on the front foot, and we tried to hurt them. We had a few opportunities.
“Then their keeper went down injured and that kind of changed the momentum of the game. It was a difficult pitch and became a bit scrappy.
“It became more their game, landing on second balls. The second half was a bit more their game. Then we had some momentum, half-chances, but ultimately, I am happy with the point.
“It was a difficult game, and it was about showing that grit and determination to keep a clean sheet and come away with a hard-earned draw.
“They beat Burnley at the weekend and good teams have come here and found it very hard. I felt it was a solid defensive display and we were always going to need that.
“I think the lads should be really proud of themselves tonight. Back-to-back clean sheets, four points from six. When you come away from home, you have got to be tough, you have to show grit, and I think overall it’s a good point.”
[Lead image: Swansea City Football Club]
