The veteran defender has just over a year to run on his current deal.
Sports Zone says Bayern Munich are now showing interest in Van Dijk.
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The German giants are ready to act if the Liverpool captain becomes available this summer.
At the same time, Van Dijk is said to have already received a lucrative offer from the Saudi club Al Qadisiyah.
Al Qadisiyah tops the Saudi second division and are very close to promotion to the top division.
The 32-year-old appears to want to stay at Liverpool, but that is not set in stone.