Below are my own instructions to build WineASIO for Linux 32 Bits

cd /tmp/
# Downlaod ASIO SDK and decompress it
wget http://www.steinberg.net/sdk_downloads/asiosdk2.3.zip
unzip asiosdk2.3.zip 
# Download WineAsio and decompress it
wget http://downloads.sourceforge.net/project/wineasio/wineasio-0.9.2.tar.gz
tar xzf wineasio-0.9.2.tar.gz 
cd wineasio/
# Copy 'asio.h' in the current folder
cp ../ASIOSDK2.3/common/asio.h .
#
# If wine is not installed in '/usr' by default but available in your PATH environment then
export PREFIX=$(dirname $(dirname $(which wine))) # Double dirname to remove 'bin' subfolder
#
make PREFIX=$PREFIX
sudo make PREFIX=$PREFIX install
regsvr32 wineasio.dll