Swansea boss Paul Clement feared Chelsea would tempt Spain striker Fernando Llorente away during the January transfer window.
Reports have persisted that World Cup winner Llorente would head for Chelsea to provide cover for Diego Costa in the second half of the season.
But the in-form Llorente seems set to play a key role in Swansea's relegation battle after scoring seven goals in his last 11 appearances.
And Clement has revealed that Llorente's two-goal show in a shock 3-2 Swansea win at Liverpool in their last Premier League outing persuaded the 31-year-old to stay in south Wales.
Asked if he was convinced Llorente was going to stay in January, Clement replied: "No, not always.
"But after that game he had at Liverpool, he felt good.
"We're happy with him so when both parties are happy, there's no need to move.
"Of course, it (interest) can put questions in a player's mind, but in my conversations with him he has been happy here.
"He has seen how the team is starting to play and he is very important to us."