Traffic Scotland reported that the crash took place on the M8 near Hermiston Gait and traffic is still very slow in this area.
Emergency services responded to the crash at around 2.35pm on Wednesday, west bound at junction two.
The section of road was then closed, leading to diversions via the A720 and the A8 though police have since moved the lorry onto the hard shoulder so that traffic can pass.
Traffic Scotland urge caution as traffic is very slow and there are reports of huge delays from people stuck in the queues.
Edinburgh Travel have reported that the delays extend to “most of west Edinburgh.
"Westbound A90 from Craigleith, A8 from Haymarket, A71 from Saughton and A70 from Shandon. Oxgangs, Firrhill, Colinton, Craiglockhart, Clermiston, Drum Brae, Davidson Mains and Cramond areas.”
A Police Scotland spokesperson said: "We received a report of a lorry overturned on the M8 Westbound near Junction 2 around 2.30pm on Wednesday, 26 May.
"The driver has been taken to Edinburgh Royal Infirmary as a precaution."