Fluid transition of sprint between tiles

I am working on a 2d tile based game as a way to learn Unity and Game development.

Currently, i have no problem in creating a map with a game objects for each tile, but the transfer from one tile to another can be a bit rough. Are there a way to display my sprites in such a way that they get merged together when switching from one sprint to another.


There is a link in the asset store for this:

Edit: it isnt in the asset store but it is the trailer and then in the description there is the link to the asset strore.