  In this short note, we discuss essential positivity of Toeplitz operators on
the Fock space, as motivated by a recent question of Per\"al\"a and Virtanen.
We give a proper characterization of essential positivity in terms of limit
operators. A conjectured characterization of essential positivity of Per\"al\"a
and Virtanen is disproven when the assumption of radiality is dropped.
Nevertheless, when the symbol of the Toeplitz operator is of vanishing mean
oscillation, we show that the conjecture of Per\"al\"a and Virtanen holds true,
even without radiality.
