Swansea manager Francesco Guidolin says he feels no pressure after defeat against Manchester City.
The Swans were knocked out of the EFL Cup on Wednesday and are 15th in the Premier League with just one win in five games.
Reports say former Wales captain Ryan Giggs and national coach Chris Coleman are potential replacements if the 60-year-old Italian were to leave.
"I know football is like this, there's no pressure for me," said Guidolin.
"It's my job. I know my job."
Guidolin's Swans have a tough run of fixtures, starting with another home game against leaders City in the Premier League on Saturday, Liverpool at home on 1 October then Arsenal away after the international break on 15 October.