Calenda added that the pipeline's arrival at Melendugno had been approved after "the most careful assessment of the alternatives".
Work has been held up recently by protests against the removal of olive trees, even though it has been confirmed that they will later be replanted in the same place.
Also on Wednesday, the Constitutional Court annulled a Puglia region order linked to the xylella virus which the government said threatened the TAP construction.
The TAP is set to bring Caspian gas from Azerbaijan to Europe.