Unite is seeking talks with the owners of the plant, the ABP Food Group.
BBC: Horsemeat row: Trade union's fears over Silvercrest jobs
The school, which is backed by Associated British Ports (ABP), is set to open next September.
Green Port Hull is a collaboration between Siemens and the dock's owners, Associated British Ports (ABP).
BBC: Green Port Hull factory boosted by Siemens turbine deal
"This investment really demonstrates our confidence in the medium to long-term, " says ABP's Steven Young.
But ABP rejected the bid on Tuesday saying after telling investors that the potential offer was too low.
The project, a collaboration between engineering firm Siemens and Associated British Ports (ABP), was given planning permission in May.
BBC: Delay in signing Hull Green Port wind turbine factory deal
Both Dalepak - based near Northallerton in North Yorkshire - and Silvercrest are part of the ABP Food Group.
But Southampton's port operators, Associated British Ports (ABP), remain upbeat about the future prospects of their car terminal business.
The ABP Food Group said it had halted work at its Silvercrest Foods plant, in Co Monaghan, until further notice.
Up to 100 jobs will be created at docks on the Humber owned by Associated British Ports (ABP), it has announced.
In a statement, Greencore said the sauce contained meat supplied by the ABP Food Group's Nenagh plant in County Tipperary, Ireland.
The ABP Food Group, one of Europe's biggest suppliers and processors, stopped work at its Silvercrest Foods plant in Ireland, after the contamination emerged.
Freshlink is a subsidiary of ABP Food Group, the company that owns Silvercrest Foods where the first products with equine DNA were discovered in January.
Matt Jukes, ABP port director for Hull, said the delay was down to the planning process and that all parties remained committed to the project.
BBC: Delay in signing Hull Green Port wind turbine factory deal
Earlier on Wednesday, Tesco announced it was dropping Silvercrest, part of the ABP Food Group, as a supplier in the wake of the horsemeat scandal.
In response, Paul Finnerty, chief executive of ABP Food Group, said the firm had "learnt important lessons" and was "determined to ensure this never happens again".
Associated British Ports (ABP) said no further shipments were planned.
On Thursday, ALDI UK said it had suspended its contract with Dalepak, which is also owned by ABP, to supply beefburgers and was conducting further investigations at its factory in Yorkshire.
BBC: Horsemeat row: Trade union's fears over Silvercrest jobs
The burger chain said that while it was not a food safety issue, they were replacing all products from Silvercrest, which is a subsidiary of ABP, in the UK and Ireland with items from another supplier.
The ABP Food Group - one of Europe's largest processors and suppliers - said that, as a result of new tests two days ago, "the responsible course of action is to suspend all production at the Silvercrest plant in County Monaghan with immediate effect".
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