Members of the Rail, Maritime and Transport union are due to launch the lengthy walkout from Wednesday until Friday.
According to the union, there has been a complete breakdown of industrial relations and Transport for London has since warned there will be little or no service if the strike action goes ahead.
A spokesman for TfL said: "If [the strike] goes ahead, there will be no service on the Piccadilly line from early afternoon on Wednesday 26 September until the afternoon of Friday 28 September.
"Then again on Friday evening, with no Night Tube, until the morning of Saturday 29 September."
The two sides will meet at the conciliation service Acas for last-ditch talks on Monday in a bid to avoid the Piccadilly line shut down.
What time will Piccadilly line strike action start?
Tube drivers are set to walk out for 48 hours from noon on Wednesday and services are not expected to resume until Friday afternoon. A further strike will take on Friday evening.
TfL has advised Piccadilly line passengers to complete journeys by 1pm on Wednesday if the strike goes ahead.
The strike will then resume on Friday evening, with TfL advising: "Please complete your journey by 10pm. There will be no Night Tube service on Friday."
By 7.30am on Saturday, a normal service will operate between Heathrow and Cockfosters. By 8.30am, a normal service is expected between Acton Town and Uxbridge.
After 10pm on Wednesday there will also be no Metropolitan line service between Aldgate and Wembley Park due to planned works.
Extra buses will be running during the strike action and a bus map can be found here.
📣 There is a strike planned on the Piccadilly line from Wed 26 Sept until Sat 29 Sept. If it goes ahead there will no service on the line throughout this period, including the Night Tube on Friday. All other lines running as usual. Full details here: https://t.co/Q8AtmFUW9M— Piccadilly line (@piccadillyline) September 23, 2018
Which stations will be busier than usual?
During the strike, interchange stations along the Piccadilly line will be "much busier than usual", according to TfL.
Those particularly affected will include Finsbury Park, King's Cross St Pancras, Green Park and Hammersmith.
TfL has advised Great Northern customers to change at King's Cross St Pancras, Highbury & Islington, Old Street or Moorgate for central London as Finsbury Park is likely to be "extremely busy".
Other London Underground services are also likely to be busier than usual as rail users descend on other Tube lines.
London Overground, TfL Rail and DLR services will operate normally but some stations could be busier than usual as a result of Piccadilly line customers using alternative routes.
People wanting to avoid busier journeys can check out walking distances between stations here.
Roads in west and central London are also likely to be busier than usual, in particular the A4 and M4 to Heathrow.
Where will my ticket be accepted?
- Buses will accept printed Tube tickets and NR cross-London tickets on reasonable alternative routes
- London Overground will accept printed Tube tickets on reasonable alternative routes
- TfL Rail will accept printed Tube tickets between Heathrow and Paddington
- SWR will accept printed Tube tickets between Waterloo and Feltham via Hounslow
- Thameslink will accept printed Tube tickets between King's Cross - Finsbury Park - New Southgate - Oakleigh Park - New Barnet
- Great Northern will accept printed Tube tickets between Highbury & Islington - Drayton Park - Finsbury Park - Harringay - Hornsey - Alexandra Palace - Bowes Park - Palmers Green
- Travelcards will be accepted on other services as usual
How do I travel to Heathrow Airport?
People have been advised to use TfL Rail and Heathrow Express services to and from Paddington station, which runs around every 30 minutes and takes 35 minutes.
These services are likely to be busy during the strike action, TfL said. The A4/ M4 motorway route to Heathrow is also likely to be busier than usual.