Roblox Physics/Constraint Movers inaccurate between client and server

I have a homing missile that uses constraint movers to target the player. While it works fine, the player position in the server lags behind the player position in the client.

As you can see, the player is clearly not touching the missile on the client-side. However, to the server, the player is actually touching the missile, evidently from the server output.

I know this is a given considering the latency of the player, however, is there a way prevent this or make the missile be more accurate?