'week preceding' is correct and can be used in written English.
For example: "The week preceding Thanksgiving, the store was busy with shoppers looking for holiday decorations."
In the week preceding this meeting, I hadn't gotten a hit in two games.
Carnival, the most important festival, is held during the week preceding Lent.
Mr. Jobs ran a high fever for the week preceding his presentation, according to an industry executive he spoke with.
A report from an investigation ordered in March by Cuomo is due in the week preceding the Travers Stakes.
With a bye week preceding the start of the next quarter, Groh warned: "We're starting the second quarter of the season at 0-0".
If there's one lesson learned from 33 Super Bowls, it's that there is little that passes as true wisdom in the week preceding the game.
League rules demand that all natural turf fields should be covered if precipitation is expected during the week preceding each game.
He was bed-bound with flu in the week preceding Augusta, with that illness spreading into his chest just by the time he thought full health had arrived.
In the week preceding the performance, potential research participants were emailed a consent form, background information and sociodemographic form, and two standardized stigma measures (described below).
The psychiatric interview was performed on the day of the SPECT scan, and questionnaires were answered in the week preceding the SPECT scan.
Violent clashes continued in the week preceding Secretary Clinton's arrival.
