Swansea Council is preparing a stage-one bid for Cwmdonkin Park, which will be submitted to the HLF in February. Proposals include thinning trees to reveal views over Swansea Bay, restoring the bowling green pavilion with a Dylan Thomas exhibition, and improving boundary fencing and signage.
Water features and a bog garden could be created, along with a sensory garden that contains raised beds with colourful, scented, seasonal planting.
It has also been suggested that informal seating could be built by removing bedding areas and replacing them with grassy slopes.
A community garden is among the proposals, along with improved play facilities for children.
The initial consultation period has now closed and proposals for the restoration of the park were on display during a public meeting on 27 November.
Swansea Council is upgrading Cwmdonkin Park to mark 100 years since Dylan Thomas' birth in 1914.