What is the word for 'slow change of direction'?

While combing through an article I was proofreading, I came to a sentence:

"I slowly swerved towards Computer Science."

The sentiment that the sentence tries to convey is of a slow change towards computer science, but swerve means, according to the dictionary, a sudden/abrupt change in direction. Can anyone suggest a single word for a slow change in direction?

I would recommend veer, hence:

I slowly veered towards Computer Science

Dictionary.com defines this as:

to change direction or turn about or aside; shift, turn, or change from one course, position, inclination, etc., to another

This definition does not indicate whether that change is rapid or slow.

Although other dictionaries such as OxfordDictionaries.com do indicate that the change of direction is sudden:

Change direction suddenly

personally I disagree with this interpretation.

‘Meander’ and ‘drift’ came to mind, though I feel they both imply a certain level of sluggishness or aimlessness without a clarifying adverb.