The M1 southbound near junction 35 (Chapeltown) has a lane closed this evening, South Yorkshire Police said.
The force’s tweet said: “Delays on M1 south junction 35 as vehicle left the road. Luckily minor injuries only, all lanes will be open soon.”
Delays are expected to clear this evening.
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Traffic may be heavier than usual in parts of the city centre as well tonight due to Tramlines Festival finishing this evening.