  For a general solution of the degenerate third Painlev\'e equation we show
the Boutroux ansatz near the point at infinity. It admits an asymptotic
representation in terms of the Weierstrass pe-function in cheese-like strips
along generic directions. The expression is obtained by using isomonodromy
deformation of a linear system governed by the degenerate third Painlev\'e
equation.
