The Swans currently sit 17th in the Premier League table after managing only one win from their opening six games, which has cast the future of Guidolin in major doubt.
When asked if the Liverpool match could be his last with the Swans, the Italian manager said: "Maybe. Could be. It could happen.
"I spoke with the chairman last week but at the moment, the most important thing is for me to work with my players and my team on the training ground and to prepare for the next game with focus and concentration.
"Yes, I know it's not a good moment for our team but it is because of the table and we need results. But we can get the result if we play well and I am confident because this is a good team with good players.
"But at the moment my position is not important, Swansea's position are important. Our colours are most important and the most important (thing) is to have a result and improve our table."
When asked about the speculation in the media regarding his future, Guidolin insisted that his focus is only on getting the results for the club.
Guildolin added: "It's not my problem. The chairman is honest and direct with me, he has never said something about this.
"I spoke to the chairman last week, but I don't need this. I need just to work and to get results because this is football. Without results, words are not important.
"It is important to win. It is clear for me, for chairman and everybody."