RAF serviceman Corrie Mckeague went missing after a night out in Bury St Edmunds in September.
After a high-profile missing persons campaign, police revealed in March he may have ended up in a bin lorry.
About 4,430 tonnes of waste have been searched so far at a landfill site at Milton, Cambridgeshire.
On Monday, Suffolk Constabulary announced it would be continuing its search for the missing 23-year-old.
A police spokeswoman said: "The work is constantly being reviewed and, as the search team are still finding items from the right time frame that are identifiable as coming from the town, the search will continue on a week by week basis.
"Throughout the search officers have been working to understand exactly where waste was deposited and how it may have been spread out during the process.
"This week police will be bulk-moving further material to allow the work to continue."
The force said it had carried out further work based on the GPS data from the refuse truck which brought the waste to the landfill site.
This information, the spokeswoman said, meant the area being searched at the tip had been expanded.

The new Â£59.5m distribution centre and regional offices are based at Capital Business Park in Wentloog.
Around 400 more jobs could be in the pipeline as the company plans to open new stores across south Wales.
Aldi is the UK's fifth largest supermarket with more than 700 stores and 29,000 employees.
A Â£4.5m Welsh Government grant helped support the new development.
Dan Oakenfull, managing director of new the hub, said: "South Wales and the south west of England continue to be areas of significant growth for us, and the new distribution centre will help support our immediate and future expansion across the regions."
Economy Secretary Ken Skates said the opening of the centre was a mark of confidence in the Welsh economy.
Police searching a landfill site for a missing airman have said they are finding "items from the right time" and place of his disappearance.
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Supermarket chain Aldi has opened its new warehouse on the outskirts of Cardiff, creating 422 jobs.