The deal has been slow moving as Tata Steel tries to solve the problem of its own 15-billion-pound British steel pensions scheme.
Last month its UK workers had voted in favour of a new pension deal to save their jobs.
Nearly 10,000 workers voted in a ballot in favour of moving from a final salary pension to a less generous scheme in return for job safety andTata's promise of nearly 1-billion-pound worth of investment over the next 10 years.
According to the newspaper, Dutch unions representing workers at Tata's vast Ijmuiden plant have raised concerns over the Thyssenkrupp pensions, which are an unfunded liability and underpinned by cash-flow from the steelworks.
Thyssenkrupp is under pressure from the activist investor Cevian and recently sold its steel venture in Brazil for 1.3 billion euros.
Thyssenkrupp, a vast conglomerate ranging from escalators to car axles, is reportedly already considering an alternative for its steel business should the deal with Tata fail - floating it as a standalone company.
"Talks are ongoing with Thyssenkrupp and to find a sustainable solution for the UK pension scheme," Tata Steel said in a statement.
TataSteel, which owns the UK's largest steelworks at Port Talbot in South Wales among other units, has been working on finding a solution to the crisis in the steel industry since it announced a major restructuring in March 2016.
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