The phrase "at that time expected" is correct and usable in written English.
It can be used to refer to something that was anticipated or predicted during a specific time in the past.
Example: "The project was delayed due to unforeseen circumstances, which were not at that time expected by the team."
Alternatives: "previously anticipated" or "expected at that moment".
However, the public did not at that time expect biopsychosocial care from the health services, but rather only the biological/pharmacological component, relying on other care providers for psychosocial management [ 15].
However, it is, at the same time, expected that molecular evolution of the proteins involved in phototransduction has contributed to this response variation.
Finally, a worker may choose to work at a second job for financial or family circumstances that are temporary, at the same time expecting that the current primary job offers the best long-run job match.
At that time, it expected to run a $3 million deficit and had $4 million worth of bank debt.
Oxford dons at that time were expected to remain bachelors, and Dodgson did: no one would have thought that odd.
Mr. Gore's lawyers said at that time they expected Ms. Harris would seriously consider the recount requests.
At that time, I expected to move to Japan and become a performer, entertainer and an overseas Filipino contract worker.
On Monday he said that at that time he expected a "dark end" in which he was either killed or jailed in the US.
"Spider-Man" was originally scheduled to begin performances on Broadway in February, but endured production delays because its first group of producers had difficulty raising money to mount the musical, which at that time was expected to cost $50 million.
At that time, he expected that "it should not be long before we find out much more about how language works at this level" (ibid)., since working out large scale frequencies of items in collocation would no longer be difficult.
