  An N=4 supersymmetric extension of the l-conformal Galilei algebra is
constructed. This is achieved by combining generators of spatial symmetries
from the l-conformal Galilei algebra and those underlying the most general
superconformal group in one dimension D(2,1;a). The value of the group
parameter a is fixed from the requirement that the resulting superalgebra is
finite-dimensional. The analysis reveals a=-1/2 thus reducing D(2,1;a) to
OSp(4|2).
