JLR, which has plants in Solihull, Wolverhampton and Merseyside, employs about 30,000 people directly, with an additional 100,000 in the supply chain.
Ms Edwards said the 10 companies in attendance at Thursday's meeting covered a "cross section" of first-line direct suppliers, covering the "whole eco-system" of the supply chain.
She expressed particular concerns about the smaller suppliers and their cashflow concerns.
"It's very worrying and that's because we're nearly a month into this - some of those suppliers had not been paid," she said.
"We heard from one supplier who had still not received payment from JLR since 29 August, so it's really good to hear that the [JLR] invoicing system is coming back online."
JLR said on Thursday that it had begun a "phased restart" of its operations with parts of its IT system back up and running.
