Old 1st Gen iPhone SE - getting latest SE, Can injust sawp SIM if its the same size ?

Hi,

I’ve been using an old iPhone SE 1st generation. 
 

I ordered a new iPhone SE directly from Apple 

Its unlocked and not tied to any carrier. 

if the SIM cards are physically the same size, can I just swap it over to the new phone and go on my merry way ?
 

Tx,

   Kevin