Swansea head coach Francesco Guidolin insists his side are not completely out of danger just yet ahead of the trip to Bournemouth.
The Swans are now nine points clear of the bottom three following successive wins over Arsenal and relegation rivals Norwich.
The Italian missed the wins over the Gunners and the Canaries after being hospitalised with a chest infection and he will not travel to Bournemouth on the advice of doctors, although he is out of hospital.
Guidolin feels Swansea can start to look up the table, but he warned the job of securing survival is not necessarily complete just yet.
“The important thing in this period is our position in the table,” said Guidolin, who conducted the pre-match press duties but will have Alan Curtis in his place at the Vitality Stadium this weekend.
“We had two important victories but it is not enough. It is not finished, I want more.
“I know our team is a good team and we can do better, we can finish the season very well.
“The Premier League is difficult and we cannot be sure, but the table is looking better for us.
“When I arrived in Swansea we had two points more than the teams in the relegation zone, now it is nine.
“But it is not enough. I want to see my team play well Saturday and for the remaining matches this season.”
He added: “We must look match by match. The Premier League is difficult and I don’t know how many more victories we must have.
“We won at Arsenal and it is possible another side in the relegation zone can win against a big team.
“It is important to understand nothing is impossible in the Premier League. We have to concentrate only on Saturday because it is a difficult match.”