The exhibition is being held to find subcontractors for the multimillion pound development.
The FVG joint venture (JV) was agreed as preferred bidder for the scheme in January.
Preliminary works are already underway on the site.
The development involves a 3,100 tonne cable-stayed bridge featuring an A-frame pylon rising to 115m (379ft) and spanning 336 metres.
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It will cross the River Wear between Castletown on the north to Pallion on the south bank and will have two lanes of traffic in both directions plus dedicated cycleways and footpaths along its full length.
The works are due to be completed in spring 2018.
Council leader Paul Watson said: "The bridge and its approach roads are going to open up regeneration and development sites along the River Wear dan bring more investment into Sunderland.
"As a piece of infrastructure, it is one of the region's biggest civil engineering projects and an investment that is going to help create more jobs and more economic growth."
The Meet the Buyer event is being held on 23 June in the North East Business & Innovator Centre (BIC), Wearfield, Enterprise Park East in Sunderland.
Farrans said the meeting will make it easier for companies to "network and discuss work opportunities."
(LM)
