He is able to save to the uttermost those who draw near to God through him, since he always lives to make intercession for them. This verse shows the permanence of the New Covenant. It is not a contract that can expire. Jesus lives and intercedes for you, now and permanently.
Righteousness here is not something you must earn anew daily. It stands because the one who accomplished it lives. Your standing does not depend on your stability but on his.
When you waver today, remember: he does not waver. And he intercedes for you, not against you.