By-elections to replace former MPs Stephen Flynn and Stephen Gethins following their election to the Scottish Parliament will take place next month.
Flynn, the SNP's former Westminster leader and MP for Aberdeen South, became an MSP for Aberdeen Deeside and North Kincardine earlier this month.
Gethins, who was previously the MP for Arbroath and Broughty Ferry, was elected as the SNPs new MSP for Dundee City East.
It has now been announced that by-elections to elect the new Westminster MPs will take place on Thursday 18 June. Nominations will open on Wednesday and close at 16:00 on Friday.
At the Holyrood election on 7 May, Flynn came in ahead of the Conservatives with a slim majority of 1,244 (3.6%).
Gethins was elected to the Dundee City East seat with 12,969 votes, beating Scottish Labour with a majority of 8,177 (30.8%).
Both had to step down from Westminster in order to take up their seas at Holyrood.
The SNP leader is to be formally sworn in on Wednesday before he chooses a new cabinet.
The SNP leader says the proposed price cap on basic foodstuffs is not intended to force a fight with the UK government.
Doogan will lead the SNP's group of MPs after Stephen Flynn was elected to the Scottish Parliament.
Helen McDade, one of Reform's 17 new MSPs, has called for other parties to stop "posturing".
The nationalists secured 58 seats in their fifth consecutive election win, but that is short of an overall majority.
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