Scotland Yard says MP will face no further action over 800-mile trip she took after testing positive for Covid.
The Labour leader will host a virtual meeting with Margaret Ferrier's constituency on Wednesday.
Rutherglen and Hamilton West MP Margaret Ferrier travelled by rail despite knowing she had coronavirus.
The PM said 'everyone should obey' coronavirus rules but stopped short of saying the SNP MP should quit.
Nicola Sturgeon revealed in a tweet that she had spoken to Margaret Ferrier and advised her to stand down as an MP.
Margaret Ferrier had already travelled by train to Westminster even though she had developed Covid symptoms.