Migrants leave in a bus after disembarking in the port of Taranto, southern Italy, Sunday, Sept. 4, 2022. AP
The Tunisian Forum for Economic and Social Rights (FTDES) said more than 500 irregular migrants have also perished or gone missing off the Tunisian coast over the same period.
It added that some 2,635 minors -- around half of them unaccompanied -- and 624 women were among the Tunisians who reached Italy.
"The migration crisis continues despite the silence of institutions and ministries, and the presidency of the republic is responsible," FTDES spokesperson Romdhane Ben Amor told journalists in Tunis.
People fleeing violence and poverty across Africa and beyond have long used Tunisia, just 125 kilometres (80 miles) from the Italian island of Lampedusa, as a launchpad for maritime bids to reach Europe.
But as a long-running economic crisis grinds more people into poverty, growing numbers of Tunisians themselves are making such attempts.
This year's figure of 13,742 Tunisians reaching Italian shores is up by 11 percent on the same period last year, the FTDES said.
Migration attempts tend to surge in the summer months, and this year June was the peak month with over 1,400 arrivals.
Also on Tuesday, the Tunisian coast guard said it had thwarted 34 migration attempts and "rescued" 554 migrants the previous night.
In recent months, the interior ministry has regularly announced the capsizing of boats and rescue operations involving irregular migrants off the Tunisian coast.
The EU's Frontex border agency says more than 42,500 migrants used the central Mediterranean route between January and July, up 44 percent compared with the first seven months of 2021.