First minister Nicola Sturgeon has repeatedly raised the prospect of calling for another independence vote in the wake of the UK's vote to leave the European Union, and is expected to move towards doing so at the SNP conference this month.
The UK's vote a year ago to leave the European Union has strained unity, with a majority in Scotland wanting Britain to remain in the bloc.
"Theresa May better become accustomed to that new reality very quickly or she'll be facing an independence referendum in Scotland", he added.
"She knows the next independence referendum will be won by Scotland".
The Tory said: "My job right now is to stand up for the majority of Scots who say they do not want a second referendum, that is exactly what I'm doing".
Prime Minister Theresa May accused Scottish First Minister Nicola Sturgeon of sacrificing living standards in Scotland in her pursuit of a breakaway from the United Kingdom, in a pointed attack as the Scottish National Party edges toward demanding a second independence referendum.
"They want the SNP Government to get on with the day job and stop this tunnel vision of only focusing on independence".
Nicola Sturgeon has been urged to take the threat of a second independence referendum off the table and focus on the SNP Government's "failings" in running Scotland.
" I am confident about the future of our United Kingdom and optimistic about what we can achieve together as a country".
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UK Prime minister says SNP are neglecting schools because of "tunnel vision" on the issue.
"I think that the SNP often treat politics as a game".
She criticised Nicola Sturgeon's SNP administration at Holyrood, accusing ministers of being "hell-bent" on breaking up the Union.
She accused Sturgeon of "twisting the truth" and "playing politics" at the expense both of the United Kingdom and the Scottish people.
" Given that this falls well short of what Scotland actually voted for. these proposals represent significant movement and a substantial concession on our part".
The British prime minister suggested that Brexit would require an overhaul of the devolution arrangements agreed under Tony Blair's Labour government.
Mrs May will tell party members in Glasgow: "Politics is not a game and the management of devolved public services is too important to be neglected".
But she warned that the Scottish National Party (SNP), which dominates the Scottish parliament, was failing on education and on raising living standards.
The party's deputy leader Angus Robertson said: "This was an ironic, hypocritical and surreal speech from Theresa May, who before the European Union referendum supported a campaign warning that leaving Europe would be a disaster, but is now determined to pull us over the cliff edge of an economically catastrophic hard Brexit".