The operation, which has not yet been approved by President Donald Trump, is expected to last for several weeks, according to the newspaper's sources.
The operation may include raids near the Strait of Hormuz, but is reportedly not expected to constitute a full-scale invasion. Planning is said to be well advanced.
"Publicly, the enemy is sending messages of negotiation and dialogue while secretly planning a ground attack," reads a statement from Iranian Parliament Speaker Mohammad Bagher Ghalibaf published by the state news agency Irna.
He adds that Iran is “waiting for the American soldiers.”
The U.S. has been sending more troops to the Middle East in the past week. For example, the amphibious ship USS Tripoli - with around 2,500 Marines - recently arrived in the region.
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