I Thessalonians 5:17 "Pray without ceasing."
Do you think Paul is saying we're to pray every minute of every day? This verse isn't meant literally...we do have to sleep at some point. God designed our bodies to need sleep...so it is impossible to pray every minute of every day. There is a message that God wants Paul to get across to the church of Thessalonica.
We are to be in a constant attitude of prayer. That means to be ready to pray at any point you feel the need. Just because we pray throughout the day does not mean we are to forsake the time of closet prayer. Matthew 6:6 "But thou, when thou prayest, enter into thy closet, and when thou hast shut thy door, pray to thy Father which is in secret; and thy Father which seeth in secret shall reward thee openly." Mark 1:35 "And in the morning, rising up a great while before day, he went out, and departed into a solitary place, and there prayed." We need that quiet and personal time with God in prayer.
But just as we need that personal quiet time alone with God...we need to be ready to pray at any time. Bod will bring people to your mind to pray for at any time. I've been prompted while I'm doing dishes...or while I'm doing laundry. I've been prompted while I was teaching school to my children to pray for people or needs. I've been awaken in the middle of the night to pray for someone.
These things are less likely to happen if we don't keep our hearts ready to pray. Someone may call you that God wants you to pray for and with. If a person's heart is not in an attitude of prayer at all times you will miss opportunities to be of help to others.
So I guess you could say that we do need to do as the Scripture says..."pray without ceasing." Never cease to be ready to pray when the opportunity arises.