  The issue of constructing N=1,2,3 supersymmetric extensions of the
l-conformal Galilei algebra is reconsidered following the approach in [JHEP
1709 (2017) 131]. Drawing a parallel between acceleration generators entering
the superalgebra and irreducible supermultiplets of d=1, N-extended
superconformal group, a new N=1 l-conformal Galilei superalgebra, two new N=2
variants, and two new N=3 versions are built. Realisations in terms of
differential operators in superspace are given.
