A fallen branch is partially blocking the A143 at Stanton, near Bury St Edmunds.
The incident was first reported at 10.14 am, according to Suffolk Highways on Twitter.
Suffolk Highways described the branch as "large" and urged motorists to plan their journeys ahead.
Traffic appears to be coping well, with only slight congestion showing on the AA travel map.
Police have urged motorists to be cautious when driving with Storm Eunice arriving in Suffolk and bringing winds of up to 90mph.
The Met Office warns that people should expect flying debris, which may result in danger to life.
For up-to-date information about the county's roads, visit our LIVE Suffolk traffic map.
Join our Suffolk Travel Information group on Facebook for all the latest traffic news in Suffolk.
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