So far no official announcement has been made but the minister would have important meetings in Islamabad before returning back this evening.
The two sides would discuss full spectrum of defence collaboration during Shoigu's visit, the Dawn reported.
Russia and Pakistan have been working on enhancing defence cooperation.
Exchange of visits by military commanders in recent years is an indication of progress achieved in this regard.
The visit also comes against the backdrop of reports that Moscow had given go-ahead for sale of MI-35 helicopters to Pakistan, which is interested in purchasing up to 20 helicopters.
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Pakistan's former ambassador to Russia Khalid Khattak said the Russian defence minister's upcoming visit reflected improvement in ties between the two countries.
"We are entering a phase of defence collaboration in procurement and production. It's important," he added.
A defence source told Dawn that the Russian side was unlikely to make any major announcement during Shoigu's trip because of President Vladimir Putin's visit to Delhi next month.