deadlock: healer-vampire vs. healer-defender

Am I correct when I assume that a battle between the following two armies will never end?

[healer, vampire] vs.[defender, healer]

each round the vampire will get 1 hp from vampirism ((4 dmg - 2 defence)*0.5) and is being healed by the healer for another 2 hp which makes the vampire regenerate 3 hp (as much as the defender's attack). The same applies to the defender. Takes 2 damage each round but regains 2 hp from the healer's heal upon each attack.