Mysqldump without slow query
The easiest way would be to change the global setting for long_query_time to a ridiculously high number, run the mysqldump, and change long_query_time back to its original value.
Perhaps something like this
MYSQL_USER=backupuser
MYSQL_PASS=backupuserpassword
MYSQL_CONN=&quot;-u${MYSQL_USER} -p${MYSQL_PASS}&quot;
#
# Record the long_query_time value
#
SQL=&quot;SELECT variable_value FROM information_schema.global_variables&quot;
SQL=&quot;${SQL} WHERE variable_name='long_query_time'&quot;
ORIGINAL_LONG_QUERY_TIME=`mysql ${MYSQL_CONN} -ANe&quot;${SQL}&quot;`
#
# Change long_query_time to 1 year 
#
SQL=&quot;SET GLOBAL long_query_time = 31536000&quot;
mysql ${MYSQL_CONN} -ANe&quot;${SQL}
#
# Perform mysqldump
#
mysqldump ${MYSQL_CONN} ...
#
# Change long_query_time to original value
#
SQL=&quot;SET GLOBAL long_query_time = ${ORIGINAL_LONG_QUERY_TIME}&quot;
mysql ${MYSQL_CONN} -ANe&quot;${SQL}

or disable the slow query log
MYSQL_USER=backupuser
MYSQL_PASS=backupuserpassword
MYSQL_CONN=&quot;-u${MYSQL_USER} -p${MYSQL_PASS}&quot;
#
# Disble Slow Query Log
#
SQL=&quot;SET GLOBAL slow_query_log = 'OFF'&quot;
mysql ${MYSQL_CONN} -ANe&quot;${SQL}&quot;
#
# Perform mysqldump
#
mysqldump ${MYSQL_CONN} ...
#
# Enable Slow Query Log
#
SQL=&quot;SET GLOBAL slow_query_log = 'ON'&quot;
mysql ${MYSQL_CONN} -ANe&quot;${SQL}&quot;

Give it a Try !!!
CAVEAT #1
Your DBA must give the SUPER privilege to backupuser so that backupuser can globally change the long_query_time setting. Perhaps a DBA can have a cronjob give away SUPER privilege to backupuser just before the mysqldump and revoke SUPER privilege when the backup is done.
CAVEAT #2
Unfortunately, any long running queries that occur during the mysqldump might not be recorded