The M27 eastbound and the M3 southbound and both closed due to a lorry that came off the road.
The lorry came off the M3 link to the westbound M27 and up and embankment.
Hampshire Road Police say the driver of the HGV only has minor injuries.
Both roads should open shortly.
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The video, obtained by ITV News, shows scores of migrants desperately trying to board lorries in a restricted area within the tunnel.