Heritage groups say the proposed A303 Stonehenge Tunnel would ease traffic from the historic site and open up more of the landscape to the public.
But Historic England, English Heritage and the National Trust are concerned about proposals for the tunnel's western portal due to its proximity to the Normanton Down barrow group cemetery.
They say it is an important group of Neolithic and Early Bronze Age ceremonial and funerary monuments.
They are calling for a careful and sensitive revision to the positioning and design of the portal.
Senior representatives from all three organisations are expected to meet with Highways England today to discuss the concerns.