The Swansea captain was out of favour during the opening weeks of the season, but two excellent displays in EFL Cup and Premier League defeats to Manchester City highlighted his importance to the side.
Swansea have made their worst start to a Premier League season and are just one point and one place above the relegation zone.
Guidolin accepts his head is on the block against in-form Liverpool today but hopes Britton can dig him – and his team – out of a hole.
“Maybe I made a mistake with Leon,” said the Italian.
“When I came here I did not know him so well, but I understand in this moment the squad needs Leon.