"It would be a knee-jerk reaction if we decided to replace them now. We will be patient till the Asian Games and based on how the team peforms, will take a call on their (Walsh and Oltmans) future," Thomson told PTI.
India finished a disappointing ninth in the World Cup last month, fuelling speculation that the highly-paid Walsh and Oltmans might be on their way out.
Thomson, who saw India's matches at the World Cup in The Hague, said they will in get in touch with Hockey India (HI) once the Asian Games are over.
"I could not attend Hockey India's review meeting last week as I was away. I will soon find out about HI's assessment. But as I said, there is no point in taking any decision now. We know that Commonwealth Games will be tough as it will have higher-ranked teams like Australia, England and New Zealand. We are more hopeful of a medal from the Asian Games," said Thomson.
Walsh was named the chief coach in October while Oltmans was appointed in January.