In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform \(\mathscr{F}_W\) on \(\mathbb{K}=\mathbb{R}^{d-1}\times[0,\infty)\), we show Laeng-Morpurgo-type uncertainty inequalities. We establish also local-type uncertainty inequalities for the Weinstein transform \(\mathscr{F}_W\), and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.