"current major" is correct and usable in written English.
For example, you can use it in a sentence like this: "My current major is Psychology."
Undergraduates, please include your current (major) GPA.
Findings: Current major depressive episode was reported by 25%.
Your current major pieces might be referred to as diptychs, but of an unusual sort.
Of the 27 current major armed conflicts, none match golfing nations.
They never earned anywhere near the millions that many current major leaguers do.
But East Passyunk's current major draw is its impressive breadth of affordable shopping.
The only current major league city never to host a World Series.
The 18‐game string is the longest current major collegiate winning streak in the country.
It also trains everyone from 3-year-old children to current major league players.
It's not hard to draw a map of current major global problems with reference to them.
Nine PTSD participants had current major depressive disorder and one had past major depressive disorder (MDD).
