or count upon
1.
If you count on something or count upon it, you expect it to happen and include it in your plans.
The government thought it could count on the support of the trades unions...
PHRASAL VERB : V P n / -ing
2.
If you count on someone or count upon them, you rely on them to support you or help you.
Don’t count on Lillian...
I can always count on you to cheer me up...
PHRASAL VERB : V P n , V P n to-inf