The Circle of the Shepherd druid has the Speech of the Woods feature (XGtE, p. 23):
You learn to speak, read, and write Sylvan. In addition, beasts can understand your speech, and you gain the ability to decipher their noises and motions.
One of the restrictions of the Wild Shape feature is:
You can’t cast spells, and your ability to speak or take any action that requires hands is limited to the capabilities of your beast form.
Related question: Can a druid speak while in wild-shape?
Depending how you parse Speech of the Woods, either you can speak Sylvan and beasts can understand you when you speak Sylvan (at which point this question is moot) – or you can speak Sylvan, and separately, beasts can understand your speech, presumably in any language you choose.
So if the druid wild shapes into a wolf, they can only speak “like a wolf” (fairly limited). But they can also decipher the noises and motions of a wolf, and wolves can understand their “speech”, however that is defined.
Am I trying too hard to suggest that the druid can communicate with other beasts when in beast form? Or at least other beasts of the same species?