Jo Swinson has written to Jeremy Corbyn suggesting the pair meet “in the coming days” to discuss how their parties can collaborate to stop a no-deal Brexit.
It comes just one day after the Liberal Democrat leader dismissed Mr Corbyn’s plan to become interim Prime Minister as “nonsense”.
In a letter to other opposition leaders and remain-supporting Tories, the Labour leader sought support to temporarily take over as Prime Minister in order to prevent leaving the EU without a deal before a general election.
The proposal is on the assumption that Boris Johnson loses a vote of no confidence, which Labour plans to table “when we can win”.
Ms Swinson initially criticised Mr Corbyn’s move as being “about him and his position” rather than “a serious attempt to find the right solution and build a consensus to stop a no-deal Brexit”.
Now she has agreed to talks but reiterated her belief that it must be someone else who leads an emergency government.
SNP leader Nicola Sturgeon urged Ms Swinson to rethink her rejection of the proposition and signalled her 35 MPs could support Mr Corbyn's plan.
However, Senior Tory Remainer Dame Caroline Spelman has refused to support any Corbyn government, while some other Tory rebels indicated they would hold talks with Mr Corbyn.
Plaid Cymru suggested they could support the plan.