"a shift into" is grammatically correct and commonly used in written English.
Example: The company experienced a shift into the digital age, requiring employees to adapt to new technology.
The day marks a transition that is mostly behavioral, a shift into a different gear.
A shift into "asset-retention mode", he says, is "the kiss of death".
A shift into services like Internet radio could present new opportunities to make money.
And when Mr. Harris signaled a shift into a strolling 4/4 swing, it delivered a thrill.
Then came a shift into surging cycles of rhythm, which carried the melody like a raft over tumbling rapids.
First, a shift into banking will reduce its reliance on the slow-growing, competitive business of issuing credit cards.
The Pageant of the Bizarre is a jaunty fairground ride that concludes with a shift into Beach Boys-style harmonising.
This section contains maps, time series and other analyses useful for monitoring ENSO and identifying the presence of a shift into El Niño or La Niña.
It's very different to the sad teenager music I used to listen to – a shift into full-blown session-musician dad rock.
The cavatinas, those oases of slow melody, were glowingly sung and beautifully detailed; she may be ready for a shift into less stratospheric repertory.
