Sir Keir Starmer says a second Scottish independence referendum would be 'entirely the wrong priority'.
STV/Ipsos MORI poll finds record support for independence and puts the SNP on course for a Holyrood majority.
Willie Rennie said his party will not support a new independence vote over the next Holyrood term.
The Scottish Conservatives leader is also confident that the PM is 'determined' to secure a deal on Brexit.
The SNP will go into next year's Holyrood election looking for a 'clear endorsement' for its referendum plans.
Panelbase survey finds 2014 referendum result could be reversed if held today.
Boris Johnson dismissed calls for indyref2 but Nicola Sturgeon criticised what she called his 'campaign visit' to Scotland.
Polling expert Professor John Curtice said 'never before' had public support for the union 'looked so weak'.
Pete Wishart said the SNP could consider 'withdrawing from the apparatus of the UK state'.
In a letter to the UK Government, MSP Mike Russell said ministers had halted work on the plans as a result of the pandemic.
The country may also have to rejoin the Common Fisheries Policy, a report has said.
Angus MacNeil said if "all legal referendum avenues are blocked" then the party "must be able to use the ballot box" to win a mandate.
Labour leadership contender Lisa Nandy has suggested the decision on whether to hold a second independence...
The First Minister said a ballot could be held without Westminster's consent provided it's ruled as legal.
More than half of Scots would vote for independence - but they don't support a referendum this year.
MSPs voted by 64 to 54 for the principle of a referendum but Boris Johnson refuses to allow one.
The Labour leadership contender said he wanted a new constitutional set-up 'based on federalism'.
Some MPs cheered as royal assent was confirmed for the European Union (Withdrawal Agreement) Act.
The First Minister's spokesman said she remains 'committed' to holding a vote this year.
The Prime Minister said a new independence vote would cause continued 'political stagnation'.