"almost the same time as" is correct and usable in written English
You can use it when you want to compare two events that are occurring almost simultaneously or in a similar timeframe. For example: "They published their books almost the same time as each other."
At almost the same time as the leaders were meeting, British soldiers in Helmand Province were playing soccer with Afghan federal police officers in a game that turned deadly after a dispute, said the Helmand police chief, Mohammed Hakim Angaar.
The Group of 8 summit meeting — a gathering that tends to attract protesters in large numbers — was originally set to run in Chicago at almost the same time as the NATO meeting.
Bridgestone/Firestone officials, speaking in a conference call held yesterday at almost the same time as Ford's, said they had not yet had time to translate the report from Venezuela but did not believe that they had done anything wrong.
At almost the same time as Mrs Brooks was arrested and cautioned at a South London police station in connection with Scotland Yard's investigation in July 2011, Charlie Brooks is pictured in the underground car park of their home in Chelsea Harbour.
Mr. Andsnes also pays special heed to Norwegian composers of earlier generations, like Geirr Tveitt, "a sort of Norwegian Bartok," he said, and Fartein Valen, "a 12-tone composer who started at almost the same time as Schoenberg but sat on this almost totally isolated farm in the western part of the country".
In a sign of how coordinated the effort is, a close supporter of Mr. Pataki, Rep. John E. Sweeney, Republican of Speigletown, held a news conference in Washington at almost the same time as Mr. Pataki held his, making many of the same points.
This is another way of saying unprecedented disaster, as food production plummets almost everywhere at about the same time as the human population reaches its peak.
B1 was launched almost at the same time as UAV4 and B2 was launched about 1 h after the take-off of UAV5.
Almost at the same time as Ramachandran, a group in Scotland had also suggested the link.
"Ow!" — and almost at the same time as the report of a large group at East Ninth Street.
They make fine appetizers but will arrive almost at the same time as the entrees from the extremely efficient kitchen.
