"Square Form" will go under the hammer during Christie's Modern British Art evening sale, which will take place on January 21 in London.
The surreal modernist sculpture was created in 1936 as part of a small group of pieces Moore carved from Hornton stone.
This hard limestone notably became one of Moore's preferred materials in the 1920s, as seen in his seminal sculpture "Mother and Child."
"Square Form" and its siblings attest to Moore's early experiments with abstraction and surrealism in the mid-1930s, with the British artist revisiting the human figure in a biomorphic manner.
"Square Form" will be offered at auction for the first time this January, with Christie's pointing out that the piece was acquired directly from Moore by the anonymous collector in the mid-1950s.
The modernist sculpture is expected to sell for between £3 million and £5 million (about $4 million and $6.6 million).
This presale high estimate is far from Moore's current auction record of £24.7 million (around $99 million), which was set in 2016 at Christie's for the iconic "Reclining Figure: Festival."
However, sculptures by the British artist have defied expectations in the past, with another edition of "Reclining Figure: Festival" fetching £19 million in 2012 against a high estimate of £5.5 million.
Moore's "Square Form" is one of the highlights of Christie's Modern British Art evening sale, which will also include L.S. Lowry's "The Mill, Pendlebury."
The painting, estimated between £700,000 and £1 million, is coming to the market for the first time since it was acquired directly from Lowry during the 1940s.
It is offered on sale at Christie's from the estate of late Dr. Leonard D. Hamilton, whose achievements as a medical researcher played a key role in the discovery of the structure of DNA.