They go into it with 54 - and most of them with large majorities.
And i a weird warning to the Prime Minister, Ms Sturgeon insisted the SNP will continue to be represented in Westminster to challenge a Conservative election victory after June 8.
With exactly one month to go until the general election, Ms Sturgeon said that without a strong SNP voice for Scotland at Westminster the Tories will think they have a free hand to negotiate any Brexit deal - or crash out of Europe without a deal - in the months and years to come.
The findings are based on an analysis by the Scottish Conservatives of first preference votes from last week's council elections, which were revealed yesterday.
The First Minister desperately played down the threat posed by Ruth Davidson's Tories, after they achieved their best local election results in generations.
"So they put that issue centre stage and they lost the election".
On Friday the Tories saw significant advances in the local elections in England and Wales, gaining more than 550 council seats and saw shock victories in mayoralty contests in the West Midlands and Tees Valley.
"The SNP is the only party that can stand up to the Tories and, working with the Scottish Parliament, SNP MPs will fight these devastating policies". "It's time to focus on this crucial general election campaign - and we can take absolutely nothing for granted", May will tell the event on Monday.
At first glance the SNP scored another remarkable success in last week's local elections.
After a record result in the Scottish local government elections, where they returned 276 councillors, the Conservatives now have seats such as Mr Salmond's Gordon constituency and the Moray seat of SNP depute leader Angus Robertson in their sights.
It says Ruth Davidson's party is now ahead in 15 constituencies in Scotland and may defeat the SNP in parts of the country it previously regarded as unwinnable.
In a series of eyebrow-raising results, the Tories also won a seat in Cowdenbeath, where previous year the UK's last elected Communist stood down, and even in Ravenscraig. So it is not the SNP losing ground to the Tories, it's Labour.
"Do we want to have strong voices standing up for Scotland? The cliché is that it's a two-horse race, but it really is, and we will be leading Scotland's fightback against the SNP".
"The Tories are helping us in their rather presumptuous announcements that they're going to win the seat".
Earlier on Saturday Ms Sturgeon described suggestions as "ludicrous" any claims the surge in Tory support in Scotland could derail her bid to hold a second independence referendum.
Labour also had a higher percentage of first preference votes than the SNP in Coatbridge, Chryston and Bellshill, up 1.65% percentage points, and was 0.91 percentage points higher in Lanark and Hamilton East.
Scottish Liberal Democrat leader Willie Rennie has previously said that the council results suggested his party could challenge the SNP in key constituencies in the general election.