  The main results of this note are: It is consistent that every subparacompact
space $X$ of size $\omega_1$ is a $D$-space; If there exists a Michael space,
then all productively Lindel\"of spaces have the Menger property, and,
therefore, are $D$-spaces; and
  Every locally $D$-space which admits a $\sigma$-locally finite cover by
Lindel\"of spaces is a $D$-space.
