First stop the future updates via yum/dnf package manager, if you skip this step then after each update of curl from the base repo you need to rebuild curl

Centos 7 /EL7 :

cat /etc/yum.conf |grep "^exclude="|grep kernel 1> /dev/null 2> /dev/null || echo 'exclude=curl* libcurl*' >> /etc/yum.conf

Centos 8 stream /EL8 :

cat /etc/dnf.conf |grep "^exclude="|grep kernel 1> /dev/null 2> /dev/null || echo 'exclude=curl* libcurl*' >> /etc/dnf.conf

Now you need to install dependencies to build curl and libcurl:

Centos 7 /EL7 :

yum install libssh libssh-devel libnghttp2-devel libnghttp2 libgsasl libgsasl-devel zstd libzstd-devel libzstd brotli brotli-devel libbrotli 

Centos 8 stream /EL8 :

dnf install libssh libssh-devel libnghttp2-devel libnghttp2 libgsasl libgsasl-devel zstd libzstd-devel libzstd brotli brotli-devel libbrotli 

After you've installed the dependencies build CURL from the source :

cd /usr/local/src
rm -rf curl*
wget https://curl.se/download/curl-7.88.0.zip
unzip curl-7.88.0.zip
cd curl-7.88.0
./configure --with-ssl --with-zlib --with-gssapi --enable-ldap --enable-ldaps --with-libssh --with-nghttp2
make
make install

After the successful build check the cURL version :

curl -V