diff --git a/Dockerfile b/Dockerfile
index 5e900ab462791..5c3dfcc8ee9e1 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -529,7 +529,7 @@ function common::get_packaging_tool() {
             export EXTRA_UNINSTALL_FLAGS=""
         fi
         export UPGRADE_EAGERLY="--upgrade --resolution highest"
-        export UPGRADE_IF_NEEDED="--upgrade --resolution lowest-direct"
+        export UPGRADE_IF_NEEDED="--upgrade"
     else
         echo
         echo "${COLOR_BLUE}Using 'pip' to install Airflow${COLOR_RESET}"
@@ -906,7 +906,7 @@ function install_airflow() {
             echo
             echo "${COLOR_YELLOW}Likely pyproject.toml has new dependencies conflicting with constraints.${COLOR_RESET}"
             echo
-            echo "${COLOR_BLUE}Falling back to no-constraints, lowest-direct resolution installation.${COLOR_RESET}"
+            echo "${COLOR_BLUE}Falling back to no-constraints installation.${COLOR_RESET}"
             echo
             set -x
             ${PACKAGING_TOOL_CMD} install ${EXTRA_INSTALL_FLAGS} ${UPGRADE_IF_NEEDED} ${ADDITIONAL_PIP_INSTALL_FLAGS} ${installation_command_flags}
diff --git a/Dockerfile.ci b/Dockerfile.ci
index 84adaf6dadad5..402cc757eb5af 100644
--- a/Dockerfile.ci
+++ b/Dockerfile.ci
@@ -476,7 +476,7 @@ function common::get_packaging_tool() {
             export EXTRA_UNINSTALL_FLAGS=""
         fi
         export UPGRADE_EAGERLY="--upgrade --resolution highest"
-        export UPGRADE_IF_NEEDED="--upgrade --resolution lowest-direct"
+        export UPGRADE_IF_NEEDED="--upgrade"
     else
         echo
         echo "${COLOR_BLUE}Using 'pip' to install Airflow${COLOR_RESET}"
@@ -710,7 +710,7 @@ function install_airflow() {
             echo
             echo "${COLOR_YELLOW}Likely pyproject.toml has new dependencies conflicting with constraints.${COLOR_RESET}"
             echo
-            echo "${COLOR_BLUE}Falling back to no-constraints, lowest-direct resolution installation.${COLOR_RESET}"
+            echo "${COLOR_BLUE}Falling back to no-constraints installation.${COLOR_RESET}"
             echo
             set -x
             ${PACKAGING_TOOL_CMD} install ${EXTRA_INSTALL_FLAGS} ${UPGRADE_IF_NEEDED} ${ADDITIONAL_PIP_INSTALL_FLAGS} ${installation_command_flags}
diff --git a/scripts/docker/common.sh b/scripts/docker/common.sh
index f6f80ff6e865a..e357d9f57e6f2 100644
--- a/scripts/docker/common.sh
+++ b/scripts/docker/common.sh
@@ -54,7 +54,7 @@ function common::get_packaging_tool() {
             export EXTRA_UNINSTALL_FLAGS=""
         fi
         export UPGRADE_EAGERLY="--upgrade --resolution highest"
-        export UPGRADE_IF_NEEDED="--upgrade --resolution lowest-direct"
+        export UPGRADE_IF_NEEDED="--upgrade"
     else
         echo
         echo "${COLOR_BLUE}Using 'pip' to install Airflow${COLOR_RESET}"
diff --git a/scripts/docker/install_airflow.sh b/scripts/docker/install_airflow.sh
index 51dc3c9e00cb4..63cdc701e21b0 100644
--- a/scripts/docker/install_airflow.sh
+++ b/scripts/docker/install_airflow.sh
@@ -91,7 +91,7 @@ function install_airflow() {
             echo
             echo "${COLOR_YELLOW}Likely pyproject.toml has new dependencies conflicting with constraints.${COLOR_RESET}"
             echo
-            echo "${COLOR_BLUE}Falling back to no-constraints, lowest-direct resolution installation.${COLOR_RESET}"
+            echo "${COLOR_BLUE}Falling back to no-constraints installation.${COLOR_RESET}"
             echo
             set -x
             ${PACKAGING_TOOL_CMD} install ${EXTRA_INSTALL_FLAGS} ${UPGRADE_IF_NEEDED} ${ADDITIONAL_PIP_INSTALL_FLAGS} ${installation_command_flags}
diff --git a/scripts/in_container/_in_container_utils.sh b/scripts/in_container/_in_container_utils.sh
index 7557d2165a149..54e1b27ba7aba 100644
--- a/scripts/in_container/_in_container_utils.sh
+++ b/scripts/in_container/_in_container_utils.sh
@@ -79,7 +79,7 @@ function in_container_get_packaging_tool() {
             export EXTRA_UNINSTALL_FLAGS=""
         fi
         export UPGRADE_EAGERLY="--upgrade --resolution highest"
-        export UPGRADE_IF_NEEDED="--upgrade --resolution lowest-direct"
+        export UPGRADE_IF_NEEDED="--upgrade"
     else
         echo
         echo "${COLOR_BLUE}Using 'pip' to install Airflow${COLOR_RESET}"